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On the Behavior of LIFO Preemptive Resume Queues in Heavy Traffic
Limic, Vlada; Cornell University

Formato:	Peer-reviewed Article,
Enlaces:	This paper studies heavy traffic behavior of a G/G/1 last-in-first-out (LIFO) preemptive resume queue, by extending the techniques developed in Limic (1999). The queue length process exhibits a perhaps unexpected heavy traffic behavior. The diffusion limit depends on the type…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

Transition Probability Estimates for Reversible Markov Chains
Telcs, Andras; International Business School Budapest

Formato:	Peer-reviewed Article,
Enlaces:	This paper provides transition probability estimates of transient reversible Markov chains. The key condition of the result is the spatial symmetry and polynomial decay of the Green's function of the chain.
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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The Convex Minorant of the Cauchy Process
Bertoin, Jean; Universite Pierre et Marie Curie

Formato:	Peer-reviewed Article,
Enlaces:	We determine the law of the convex minorant $(M_s, s\in [0,1])$ of a real-valued Cauchy process on the unit time interval, in terms of the gamma process. In particular, this enables us to deduce that the paths of $M$ have…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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Variably Skewed Brownian Motion
Barlow, Martin; University of British Columbia - Burdzy, Krzysztof; University of Washington - Kaspi, Haya; Technion Institute - Mandelbaum, Avi; Technion Institute

Formato:	Peer-reviewed Article,
Enlaces:	Given a standard Brownian motion $B$, we show that the equation $$ X_t = x_0 + B_t + \beta(L_t^X), t \geq 0,$$ has a unique strong solution $X$. Here $L^X$ is the symmetric local time of $X$ at $0$, and…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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A Large Wiener Sausage from Crumbs.
Angel, Omer; Weizmann Institute of Science - Benjamini, Itai; Weizmann Institute of Science - Peres, Yuval; University of California, Berkeley

Formato:	Peer-reviewed Article,
Enlaces:	Let $B(t)$ denote Brownian motion in $R^d$. It is a classical fact that for any Borel set $A$ in $R^d$, the volume $V_1(A)$ of the Wiener sausage $B[0,1]+A$ has nonzero expectation iff $A$ is nonpolar. We show that for any…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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A Weak Law of Large Numbers for the Sample Covariance Matrix
Sepanski, Steven J.; Saginaw Valley State University - Pan, Zhidong; Saginaw Valley State University

Formato:	Peer-reviewed Article,
Enlaces:	In this article we consider the sample covariance matrix formed from a sequence of independent and identically distributed random vectors from the generalized domain of attraction of the multivariate normal law. We show that this sample covariance matrix, appropriately normalized…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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Strict Fine Maxima
Fitzsimmons, P. J.; University of California, San Diego

Formato:	Peer-reviewed Article,
Enlaces:	We provide a simple probabilistic proof of a result of J. Král and I. Netuka: If $f$ is a measurable real-valued function on $\mathbb{R}^d$ ($d > 1$) then the set of points at which $f$ has a strict fine local…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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Perfect Simulation from the Quicksort Limit Distribution
Devroye, Luc; McGill University - Fill, James Allen; The Johns Hopkins University - Neininger, Ralph; Universität Freiburg

Formato:	Peer-reviewed Article,
Enlaces:	The weak limit of the normalized number of comparisons needed by the Quicksort algorithm to sort n randomly permuted items is known to be determined implicitly by a distributional fixed-point equation. We give an algorithm for perfect random variate generation…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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Concentration of the Spectral Measure for Large Matrices
Guionnet, Alice; Ecole Normale Superieure - Zeitouni, Ofer; Technion

Formato:	Peer-reviewed Article,
Enlaces:	We derive concentration inequalities for functions of the empirical measure of eigenvalues for large, random, self adjoint matrices, with not necessarily Gaussian entries. The results presented apply in particular to non-Gaussian Wigner and Wishart matrices. We also provide concentration bounds…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

10.

Support of a Marcus equation in Dimension 1
Simon, Thomas; Humboldt-Universitat zu Berlin

Formato:	Peer-reviewed Article,
Enlaces:	The purpose of this note is to give a support theorem in the Skorohod space for a one-dimensional Marcus differential equation driven by a Lévy process, without any assumption on the latter. We also give a criterion ensuring that the…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

11.

A Necessary and Sufficient Condition for the Lambda-Coalescent to Come Down from Infinity.
Schweinsberg, Jason; University of California, Berkeley

Formato:	Peer-reviewed Article,
Enlaces:	Let $\Pi_{\infty}$ be the standard $\Lambda$-coalescent of Pitman, which is defined so that $\Pi_{\infty}(0)$ is the partition of the positive integers into singletons, and, if $\Pi_n$ denotes the restriction of $\Pi_{\infty}$ to $\{ 1,\ldots, n \}$, then whenever $\Pi_n(t)$ has…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

12.

A Characterization of the Set of Fixed Points of the Quicksort Transformation
Fill, James Allen; The Johns Hopkins University - Janson, Svante; Uppsala University

Formato:	Peer-reviewed Article,
Enlaces:	The limiting distribution $\mu$ of the normalized number of key comparisons required by the Quicksort sorting algorithm is known to be the unique fixed point of a certain distributional transformation $T$ - unique, that is, subject to the constraints of…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

13.

On the Cover Time of Planar Graphs
Jonasson, Johan; Chalmers University of Technology - Schramm, Oded; Microsoft Research

Formato:	Peer-reviewed Article,
Enlaces:	The cover time of a finite connected graph is the expected number of steps needed for a simple random walk on the graph to visit all the vertices. It is known that the cover time on any $n$-vertex, connected graph…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

14.

A Converse Comparison Theorem for BSDEs and Related Properties of g-Expectation
Briand, Philippe; Université Rennes 1 - Coquet, François; Université Rennes 1 - Hu, Ying; Université Rennes 1 - Mémin, Jean; Université Rennes 1 - Peng, Shige; Shandong University

Formato:	Peer-reviewed Article,
Enlaces:	In [1], Z. Chen proved that, if for each terminal condition $\xi$, the solution of the BSDE associated to the standard parameter $(\xi, g_1)$ is equal at time $t=0$ to the solution of the BSDE associated to $(\xi, g_2)$ then…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

15.

On Uniqueness of a Solution of $Lu=u^\alpha$ with Given Trace
Kuznetsov, Sergei E.; University of Colorado at Boulder

Formato:	Peer-reviewed Article,
Enlaces:	A boundary trace $(\Gamma, \nu)$ of a solution of $\Delta u = u^\alpha$ in a bounded smooth domain in $\mathbb{R}^d$ was first constructed by Le Gall \cite{LGOne} who described all possible traces for $\alpha = 2, d= 2$ in which…
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

Recurso libre

16.

Feynman-Kac Penalisations of Symmetric Stable Processes
Takeda, Masayoshi; Tohoku University, Mathematical Institute

Formato:	Peer-reviewed Article,
Enlaces:	In K. Yano, Y. Yano and M. Yor (2009), limit theorems for the one-dimensional symmetric α-stable process normalized by negative (killing) Feynman-Kac functionals were studied. We consider the same problem and extend their results to positive Feynman-Kac functionals of multi-dimensional…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

17.

Orthogonality and probability: mixing times
Kovchegov, Yevgeniy V; Oregon State University

Formato:	Peer-reviewed Article,
Enlaces:	We produce the first example of bounding total variation distance to stationarity and estimating mixing times via orthogonal polynomials diagonalization of discrete reversible Markov chains, the Karlin-McGregor approach.
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

18.

A Note on the Diffusive Scaling Limit for a Class of Linear Systems
Nagahata, Yukio; Osaka University - Yoshida, Nobuo; Kyoto University

Formato:	Peer-reviewed Article,
Enlaces:	We consider a class of continuous-time stochastic growth models on $d$-dimensional lattice with non-negative real numbers as possible values per site. We remark that the diffusive scaling limit proven in our previous work [NY09a] can be extended to wider class…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

19.

A Species Sampling Model with Finitely Many Types
Gnedin, Alexander; Utrecht University

Formato:	Peer-reviewed Article,
Enlaces:	A two-parameter family of exchangeable partitions with a simple updating rule is introduced. The partition is identified with a randomized version of a standard symmetric Dirichlet species-sampling model with finitely many types. A power-like distribution for the number of types…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

20.

The measurability of hitting times
Bass, Richard F; University of Connecticut

Formato:	Peer-reviewed Article,
Enlaces:	Under very general conditions the hitting time of a set by a stochastic process is a stopping time. We give a new simple proof of this fact. The section theorems for optional and predictable sets are easy corollaries of the…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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21.

T-Martin boundary of reflected random walks on a half-space
Ignatiouk-Robert, Irina; UMR CNRS 8088, departement de Mathemetiques, Universite de Cergy-Pontoise

Formato:	Peer-reviewed Article,
Enlaces:	The $t$-Martin boundary of a random walk on a half-space with reflected boundary conditions is identified. It is shown in particular that the $t$-Martin boundary of such a random walk is not stable in the following sense: for different values…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

22.

Green functions and Martin compactification for killed random walks related to SU(3)
Raschel, Kilian; Universite Pierre et Marie Curie

Formato:	Peer-reviewed Article,
Enlaces:	We consider the random walks killed at the boundary of the quarter plane, with homogeneous non-zero jump probabilities to the eight nearest neighbors and drift zero in the interior, and which admit a positive harmonic polynomial of degree three. For…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

23.

Sums of random Hermitian matrices and an inequality by Rudelson
Oliveira, Roberto I.; IMPA

Formato:	Peer-reviewed Article,
Enlaces:	We give a new, elementary proof of a key inequality used by Rudelson in the derivation of his well-known bound for random sums of rank-one operators. Our approach is based on Ahlswede and Winter's technique for proving operator Chernoff bounds.…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

24.

Stochastic flows of diffeomorphisms for one-dimensional SDE with discontinuous drift
Attanasio, Stefano; Scuola Normale Superiore

Formato:	Peer-reviewed Article,
Enlaces:	The existence of a stochastic flow of class $C^{1,\alpha}$, for $\alpha < 1/2$, for a 1-dimensional SDE will be proved under mild conditions on the regularity of the drift. The diffusion coefficient is assumed constant for simplicity, while the drift…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

25.

A limit theorem for particle current in the symmetric exclusion process
Vandenberg-Rodes, Alexander; UC Los Angeles

Formato:	Peer-reviewed Article,
Enlaces:	Using the recently discovered strong negative dependence properties of the symmetric exclusion process, we derive general conditions for when the normalized current of particles between regions converges to the Gaussian distribution. The main novelty is that the results do not…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

26.

Upper bound on the expected size of the intrinsic ball
Sapozhnikov, Artem; EURANDOM

Formato:	Peer-reviewed Article,
Enlaces:	We give a short proof of Theorem 1.2 (i) from the paper "The Alexander-Orbach conjecture holds in high dimensions" by G. Kozma and A. Nachmias. We show that the expected size of the intrinsic ball of radius $r$ is at…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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27.

On the distribution of the Brownian motion process on its way to hitting zero
Borovkov, Konstantin; University of Melbourne

Formato:	Peer-reviewed Article,
Enlaces:	We present functional versions of recent results on the univariate distributions of the process $V_{x,u} = x + W_{u\tau(x)},$ $0\le u\le 1$, where $W_\bullet$ is the standard Brownian motion process, $x>0$ and $\tau (x) =\inf\{t>0 :\, W_{t}=-x\}$.
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

28.

An Application of Renewal Theorems to Exponential Moments of Local Times
Döring, Leif; University of Oxford - Savov, Mladen; University of Oxford

Formato:	Peer-reviewed Article,
Enlaces:	In this note we explain two transitions known for moment generating functions of local times by means of properties of the renewal measure of a related renewal equation. The arguments simplify and strengthen results on the asymptotic behavior in the…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

29.

On the Dovbysh-Sudakov representation result
Panchenko, Dmitry; Texas A&M University

Formato:	Peer-reviewed Article,
Enlaces:	We present a detailed proof of the Dovbysh-Sudakov representation for symmetric positive definite weakly exchangeable infinite random arrays, called Gram-de Finetti matrices, which is based on the representation result of Aldous and Hoover for arbitrary (not necessarily positive definite) symmetric…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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30.

Explicit Conditions for the Convergence of Point Processes Associated to Stationary Arrays
Balan, Raluca M; University of Ottawa - Louhichi, Sana; Universite Paris-sud

Formato:	Peer-reviewed Article,
Enlaces:	In this article, we consider a stationary array of random variables (which satisfy some asymptotic independence conditions), and the corresponding sequence of point processes. Our main result identifies some explicit conditions for the convergence of the sequence of point processes…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

31.

Central Limit Theorem for truncated heavy tailed Banach valued random vectors
Chakrabarty, Arijit; Indian Institute of Science

Formato:	Peer-reviewed Article,
Enlaces:	In this paper the question of the extent to which truncated heavy tailed random vectors, taking values in a Banach space, retain the characteristic features of heavy tailed random vectors, is answered from the point of view of the central…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

32.

Explicit solutions to fractional differential equations via generalized gamma convolution
D'Ovidio, Mirko; Sapienza University of Rome

Formato:	Peer-reviewed Article,
Enlaces:	In this paper we deal with Mellin convolution of generalized Gamma densities which leads to integrals of modified Bessel functions of the second kind. Such convolutions allow us to explicitly write the solutions of the time-fractional diffusion equations involving the…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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33.

The Martingale approach to disorder irrelevance for pinning models
Lacoin, Hubert; Università di Roma Tre

Formato:	Peer-reviewed Article,
Enlaces:	This paper presents a very simple and self-contained proof of disorder irrelevance for inhomogeneous pinning models with return exponent $\alpha \in (0,1/2)$. We also give a new upper bound for the contact fraction of the disordered model at criticality.
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

34.

Central limit theorem for the third moment in space of the Brownian local time increments
Hu, Yaozhong; University of Kansas - Nualart, David; University of Kansas

Formato:	Peer-reviewed Article,
Enlaces:	The purpose of this note is to prove a central limit theorem for the third integrated moment of the Brownian local time increments using techniques of stochastic analysis. The main ingredients of the proof are an asymptotic version of Knight's…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

Recurso libre

35.

Closure Properties and Negatively Associated Measures violating the van den Berg-Kesten Inequality
Markström, Klas; Umea universitet

Formato:	Peer-reviewed Article,
Enlaces:	We first give an example of a negatively associated measure which does not satisfy the van den Berg-Kesten inequality. Next we show that the class of measures satisfying the van den Berg-Kesten inequality is not closed under either of conditioning,…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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36.

Deviation inequalities for sums of weakly dependent time series
Olivier, Wintenberger; CEREMADE

Formato:	Peer-reviewed Article,
Enlaces:	In this paper we give new deviation inequalities for the partial sums of weakly dependent data. The loss from the independent case is studied carefully. We give examples of non mixing time series such that dynamical systems and Bernoulli shifts…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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37.

Tail asymptotics for the total progeny of the critical killed branching random walk
Aidekon, Elie E.F.; Technische Universiteit Eindhoven

Formato:	Peer-reviewed Article,
Enlaces:	We consider a branching random walk on $R$ with a killing barrier at zero. At criticality, the process becomes eventually extinct, and the total progeny $Z$ is therefore finite. We show that $P(Z>n)$ is of order $(n\ln^2(n))^{-1}$, which confirms the…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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38.

Concentration inequalities for the spectral measure of random matrices
Delyon, Bernard; Université Rennes 1

Formato:	Peer-reviewed Article,
Enlaces:	We give new exponential inequalities for the spectral measure of random Wishart matrices. These results give in particular useful bounds when these matrices have the form $M=YY^T$, in the case where $Y$ is a $p\times n$ random matrix with independent…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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39.

Random interlacements on Galton-Watson Trees
Tassy, Martin; Brown University

Formato:	Peer-reviewed Article,
Enlaces:	We study the critical parameter $u^*$ of random interlacements on a Galton-Watson tree conditioned on the non-extinction event. We show that, for a given law of a Galton-Watson tree, the value of this parameter is a.s. constant and non-trivial. We…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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40.

Soft edge results for longest increasing paths on the planar lattice
Georgiou, Nicos; UW-Madison

Formato:	Peer-reviewed Article,
Enlaces:	For two-dimensional last-passage time models of weakly increasing paths, interesting scaling limits have been proved for points close the axis (the hard edge). For strictly increasing paths of Bernoulli($p$) marked sites, the relevant boundary is the line $y=px$. We call…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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41.

Lipschitz percolation
Dirr, Nicolas; University of Bath - Dondl, Patrick W.; University of Bonn - Grimmett, Geoffrey R.; Cambridge University - Holroyd, Alexander E.; Microsoft Research; University of British Columbia - Scheutzow, Michael; Technical University, Berlin

Formato:	Peer-reviewed Article,
Enlaces:	We prove the existence of a (random) Lipschitz function $F:\mathbb{Z}^{d-1}\to\mathbb{Z}^+$ such that, for every $x\in\mathbb{Z}^{d-1}$, the site $(x,F(x))$ is open in a site percolation process on $\mathbb{Z}^{d}$. The Lipschitz constant may be taken to be $1$ when the parameter $p$…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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42.

Almost sure finiteness for the total occupation time of an $(d,\alpha,\beta)$-superprocess
Zhou, Xiaowen; Concordia University

Formato:	Peer-reviewed Article,
Enlaces:	For $0<\alpha\leq 2$ and $0<\beta\leq 1$ let $X$ be the $(d,\alpha,\beta)$-superprocess, i.e. the superprocess with $\alpha$-stable spatial movement in $R^d$ and $(1+\beta)$-stable branching. Given that the initial measure $X_0$ is Lebesgue on $R^d$, Iscoe conjectured in [7] that the total…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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43.

Scaling Limit of the Prudent Walk
Beffara, Vincent; UMPA - Friedli, Sacha; UFMG - Velenik, Yvan; Université de Genève

Formato:	Peer-reviewed Article,
Enlaces:	We describe the scaling limit of the nearest neighbour prudent walk on $Z^2$, which performs steps uniformly in directions in which it does not see sites already visited. We show that the scaling limit is given by the process $Z_u…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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44.

On the Principle of Smooth Fit for Killed Diffusions
Samee, Farman; University of Manchester

Formato:	Peer-reviewed Article,
Enlaces:	We explore the principle of smooth fit in the case of the discounted optimal stopping problem $$ V(x)=\sup_\tau\, \mathsf{E}_x[e^{-\beta\tau}G(X_\tau)]. $$ We show that there exists a regular diffusion $X$ and differentiable gain function $G$ such that the value function $V$…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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45.

Consistent Minimal Displacement of Branching Random Walks
Fang, Ming; University of Minnesota - Zeitouni, Ofer; University of Minnesota and Weizmann Institute

Formato:	Peer-reviewed Article,
Enlaces:	Let $\mathbb{T}$ denote a rooted $b$-ary tree and let $\{S_v\}_{v\in \mathbb{T}}$ denote a branching random walk indexed by the vertices of the tree, where the increments are i.i.d. and possess a logarithmic moment generating function $\Lambda(\cdot)$. Let $m_n$ denote the…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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46.

Measurability of optimal transportation and strong coupling of martingale measures
Fontbona, Joaquin; Universidad de Chile - Guérin, Hélène; Université Rennes 1 - Méléard, Sylvie; École Polytechnique

Formato:	Peer-reviewed Article,
Enlaces:	We consider the optimal mass transportation problem in $\mathbb{R}^d$ with measurably parameterized marginals under conditions ensuring the existence of a unique optimal transport map. We prove a joint measurability result for this map, with respect to the space variable and…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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47.

On Fixation of Activated Random Walks
Gurel-Gurevich, Ori; Microsoft Research - Amir, Gideon; University of Toronto

Formato:	Peer-reviewed Article,
Enlaces:	We prove that for the Activated Random Walks model on transitive unimodular graphs, if there is fixation, then every particle eventually fixates, almost surely. We deduce that the critical density is at most 1. Our methods apply for much more…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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48.

Balanced random and Toeplitz matrices
Basak, Aniran; Stanford University - Bose, Arup; Indian Statistical Institute

Formato:	Peer-reviewed Article,
Enlaces:	Except for the Toeplitz and Hankel matrices, the common patterned matrices for which the limiting spectral distribution (LSD) are known to exist share a common property–the number of times each random variable appears in the matrix is (more or less)…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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49.

Random Strict Partitions and Determinantal Point Processes
Petrov, Leonid; Kharkevich Institute for Information Transmission Problems

Formato:	Peer-reviewed Article,
Enlaces:	We present new examples of determinantal point processes with infinitely many particles. The particles live on the half-lattice $\{1,2,\dots\}$ or on the open half-line $(0,+\infty)$. The main result is the computation of the correlation kernels. They have integrable form and…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability

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50.

Spectral norm of circulant type matrices with heavy tailed entries
Bose, Arup; Indian Statistical Institute, Kolkata - Hazra, Rajat Subhra; Indian Statistical Institute, Kolkata - Saha, Koushik; Indian Statistical Institute, Kolkata

Formato:	Peer-reviewed Article,
Enlaces:	We first study the probabilistic properties of the spectral norm of scaled eigenvalues of large dimensional Toeplitz, circulant and symmetric circulant matrices when the input sequence is independent and identically distributed with appropriate heavy tails. When the input sequence is…
Fecha:	2010-01-01
Recurso:	Electronic communications in probability