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Aproximadamente 643 registro(s) hasta el momento: (journal)

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Recurso libre

Editorial Board for Volume 10 (2005)
,

Formato:	Peer-reviewed Article,
Enlaces:	Descripción completa.
Fecha:	2005-01-01
Recurso:	Electronic communications in probability

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On the Non-Convexity of the Time Constant in First-Passage Percolation
Kesten, Harry; Cornell University

Formato:	Peer-reviewed Article,
Enlaces:	We give a counterexample to a conjecture of Hammersley and Welsh (1965) about the convexity of the time constant in first-passage percolation, as a functional on the space of distribution functions. The present counterexample only works for first-passage percolation on…
Fecha:	1996-01-01
Recurso:	Electronic communications in probability

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Moderate Deviations for Martingales with Bounded Jumps
Dembo, Amir; Stanford University

Formato:	Peer-reviewed Article,
Enlaces:	We prove that the Moderate Deviation Principle (MDP) holds for the trajectory of a locally square integrable martingale with bounded jumps as soon as its quadratic covariation, properly scaled, converges in probability at an exponential rate. A consequence of this…
Fecha:	1996-01-01
Recurso:	Electronic communications in probability

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Bounds for Disconnection Exponents
Werner, Wendelin; Université Paris-Sud and IUF

Formato:	Peer-reviewed Article,
Enlaces:	We slightly improve the upper bounds of disconnection exponents for planar Brownian motion that we derived in an earlier paper. We also give a proof of the lower bound $1/(2\pi)$ for the disconnection exponent for one path.
Fecha:	1996-01-01
Recurso:	Electronic communications in probability

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The Dimension of the Frontier of Planar Brownian Motion
Lawler, Gregory F.; Duke University

Formato:	Peer-reviewed Article,
Enlaces:	Let $B$ be a two dimensional Brownian motion and let the frontier of $B[0,1]$ be defined as the set of all points in $B[0,1]$ that are in the closure of the unbounded connected component of its complement. We prove that…
Fecha:	1996-01-01
Recurso:	Electronic communications in probability

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Simulations and Conjectures for Disconnection Exponents
Puckette, Emily E.; Occidental College - Werner, Wendelin; Université Paris-Sud and IUF

Formato:	Peer-reviewed Article,
Enlaces:	Using Monte-Carlo simulations, we estimate numerically disconnection exponents for planar Brownian motions. These simulations tend to confirm conjectures by Duplantier and Mandelbrot.
Fecha:	1996-01-01
Recurso:	Electronic communications in probability

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Excursions Into a New Duality Relation for Diffusion Processes
Jansons, Kalvis M.; University College London

Formato:	Peer-reviewed Article,
Enlaces:	This work was motivated by the recent work by H. Dette, J. Pitman and W.J. Studden on a new duality relation for random walks. In this note we consider the diffusion process limit of their result, and use the alternative…
Fecha:	1996-01-01
Recurso:	Electronic communications in probability

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Geometric Ergodicity and Hybrid Markov Chains
Roberts, Gareth O.; University of Cambridge - Rosenthal, Jeffrey S.; University of Toronto

Formato:	Peer-reviewed Article,
Enlaces:	Various notions of geometric ergodicity for Markov chains on general state spaces exist. In this paper, we review certain relations and implications among them. We then apply these results to a collection of chains commonly used in Markov chain Monte…
Fecha:	1997-01-01
Recurso:	Electronic communications in probability

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Strong Laws and Summability for Sequences of $\phi$-Mixing Random Variables in Banach Spaces
Kiesel, Rädiger; University of London

Formato:	Peer-reviewed Article,
Enlaces:	In this note the almost sure convergence of stationary, $\varphi$-mixing sequences of random variables with values in real, separable Banach spaces according to summability methods is linked to the fulfillment of a certain integrability condition generalizing and extending the results…
Fecha:	1997-01-01
Recurso:	Electronic communications in probability

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10.

Positivity of Brownian Transition Densities
Barlow, Martin; University of British Columbia - Bass, Richard F.; University of Washington - Burdzy, Krzysztof; University of Washington

Formato:	Peer-reviewed Article,
Enlaces:	Let $B$ be a Borel subset of $R^d$ and let $p(t,x,y)$ be the transition densities of Brownian motion killed on leaving $B$. Fix $x$ and $y$ in $B$. If $p(t,x,y)$ is positive for one $t$, it is positive for every…
Fecha:	1997-01-01
Recurso:	Electronic communications in probability

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11.

Superprocess Approximation For a Spatially Homogeneous Branching Walk
Kaj, Ingemar; Uppsala University - Sagitov, Serik; Chalmers University of Technology

Formato:	Peer-reviewed Article,
Enlaces:	We present an alternative particle picture for super-stable motion. It is based on a non-local branching mechanism in discrete time and only trivial space motion.
Fecha:	1997-01-01
Recurso:	Electronic communications in probability

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12.

Wiener Soccer and Its Generalization
Baryshnikov, Yuliy; University of Osnabrueck

Formato:	Peer-reviewed Article,
Enlaces:	The trajectory of the ball in a soccer game is modelled by the Brownian motion on a cylinder, subject to elastic reflections at the boundary points (as proposed in [KPY]). The score is then the number of windings of the…
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

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13.

The Law of Large Numbers for $U$-statistics Under Absolute Regularity
Arcones, Miguel A.; University of Texas

Formato:	Peer-reviewed Article,
Enlaces:	We prove the law of large numbers for $U$-statistics whose underlying sequence of random variables satisfies an absolute regularity condition ($\beta$-mixing condition) under suboptimal conditions.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

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14.

Weak Convergence of Reflected Brownian Motions
Burdzy, Krzysztof; University of Washington - Chen, Zhen-Qing; Cornell University

Formato:	Peer-reviewed Article,
Enlaces:	We show that if a sequence of domains $D_k$ increases to a domain $D$ then the reflected Brownian motions in $D_k$'s converge to the reflected Brownian motion in $D$, under mild technical assumptions.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

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15.

Loop-Erased Walks Intersect Infinitely Often in Four Dimensions
Lawler, Gregory F.; Duke University

Formato:	Peer-reviewed Article,
Enlaces:	In this short note we show that the paths two independent loop-erased random walks in four dimensions intersect infinitely often. We actually prove the stronger result that the cut-points of the two walks intersect infinitely often.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

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16.

Brownian Excursion Conditioned on Its Local Time
Aldous, David J.; University of California, Berkeley

Formato:	Peer-reviewed Article,
Enlaces:	For a function $\ell$ satisfying suitable integrability (but not continuity) requirements, we construct a process $(B^\ell_u, 0 \leq u \leq 1)$ interpretable as Brownian excursion conditioned to have local time $\ell(\cdot)$ at time $1$. The construction is achieved by first…
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

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17.

The Best Bounds in a Theorem of Russell Lyons
Marchal, Philippe; Université Paris 6

Formato:	Peer-reviewed Article,
Enlaces:	We sharpen a bound in a theorem of Russell Lyons for percolation on a tree and associated random walk.
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

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18.

Fractional Brownian Motion and the Markov Property
Carmona, Philippe; Université Paul Sabatier - Coutin, Laure; Université Paul Sabatier

Formato:	Peer-reviewed Article,
Enlaces:	Fractional Brownian motion belongs to a class of long memory Gaussian processes that can be represented as linear functionals of an infinite dimensional Markov process. This leads naturally to: An efficient algorithm to approximate the process. An ergodic theorem which…
Fecha:	1998-01-01
Recurso:	Electronic communications in probability

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19.

A Lower Bound for Time Correlation of Lattice Gases
Handa, Kenji; Saga University

Formato:	Peer-reviewed Article,
Enlaces:	The lattice gas model in equilibrium is considered. We give a lower bound of the density-density time correlation for large time, which involves the bulk diffusion matrix in a physically natural way.
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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20.

On a Result of David Aldous Concerning the Trees in a Conditioned Excursion
Warren, Jon; University of Warwick

Formato:	Peer-reviewed Article,
Enlaces:	The law of a random tree constructed within a Brownian excursion is calculated conditional on knowing the occupation measure of the excursion. In previous work David Aldous has used random walk approximations to obtain this result. Here it is deduced…
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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21.

Construction of a Brownian Path With a Given Minimum
Bertoin, Jean; Universite Pierre et Marie Curie - Pitman, Jim; University of California, Berkeley - Chavez, Juan Ruiz de; UAM-I

Formato:	Peer-reviewed Article,
Enlaces:	We construct a Brownian path conditioned on its minimum value over a fixed time interval by a simple transformation of a Brownian bridge.
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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22.

Trees, Not Cubes: Hypercontractivity, Cosiness, and Noise Stability
Schramm, Oded; Microsoft Research - Tsirelson, Boris; Tel Aviv University

Formato:	Peer-reviewed Article,
Enlaces:	Noise sensitivity of functions on the leaves of a binary tree is studied, and a hypercontractive inequality is obtained. We deduce that the spider walk is not noise stable.
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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23.

On the Occupation Time of Brownian Excursion
Hooghiemstra, Gerard; Technical University Delft

Formato:	Peer-reviewed Article,
Enlaces:	Recently, Kalvin M. Jansons derived in an elegant way the Laplace transform of the time spent by an excursion above a given level $a>0$. This result can also be derived from previous work of the author on the occupation time…
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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24.

Correlation Measures
Lewis, Thomas M.; Furman University - Pritchard, Geoffrey; University of Auckland

Formato:	Peer-reviewed Article,
Enlaces:	We study a class of Borel probability measures, called correlation measures. Our results are of two types: first, we give explicit constructions of non-trivial correlation measures; second, we examine some of the properties of the set of correlation measures. In…
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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25.

Edge Occupation Measure for a Reversible Markov Chain
Guillotin, Nadine; Université Claude Bernard - Lyon 1

Formato:	Peer-reviewed Article,
Enlaces:	In this note, we study the Gaussian fluctuations of the edge occupation measure for a reversible Markov chain and give a nice description of the covariance matrix. Then we give some large deviations results concerning this occupation measure.
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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26.

A Gaussian Correlation Inequality and its Applications to Small Ball Probabilities
Li, Wenbo V.; University of Delaware

Formato:	Peer-reviewed Article,
Enlaces:	We present a Gaussian correlation inequality which is closely related to a result of Schechtman, Schlumprecht and Zinn (1998) on the well-known Gaussian correlation conjecture. The usefulness of the inequality is demonstrated by several important applications to the estimates of…
Fecha:	1999-01-01
Recurso:	Electronic communications in probability

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27.

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

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28.

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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29.

Loop-Erased Random Walks, Spanning Trees and Hamiltonian Cycles
Marchal, Philippe; Université Paris 6

Formato:	Peer-reviewed Article,
Enlaces:	We establish a formula for the distribution of loop-erased random walks at certain random times. Several classical results on spanning trees, including Wilson's algorithm, follow easily, as well as a method to construct random Hamiltonian cycles.
Fecha:	2000-01-01
Recurso:	Electronic communications in probability

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30.

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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31.

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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32.

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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33.

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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34.

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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35.

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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36.

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

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37.

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

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38.

Donsker-Type Theorem for BSDEs
Briand, Philippe; Université Rennes 1 - Delyon, Bernard; Université Rennes 1 - Mémin, Jean; Université Rennes 1

Formato:	Peer-reviewed Article,
Enlaces:	This paper is devoted to the proof of Donsker's theorem for backward stochastic differential equations (BSDEs for short). The main objective is to give a simple method to discretize in time a BSDE. Our approach is based upon the notion…
Fecha:	2001-01-01
Recurso:	Electronic communications in probability

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39.

$L^1$-Norm of Infinitely Divisible Random Vectors and Certain Stochastic Integrals
Marcus, Michael B.; The City College of CUNY - Rosinski, Jan; University of Tennessee

Formato:	Peer-reviewed Article,
Enlaces:	Equivalent upper and lower bounds for the $L^1$ norm of Hilbert space valued infinitely divisible random variables are obtained and used to find bounds for different types of stochastic integrals.
Fecha:	2001-01-01
Recurso:	Electronic communications in probability

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40.

Ballistic Deposition on a Planar Strip
Atar, Rami; Technion - Israel Institute of Technology - Athreya, Siva; University of British Columbia - Kang, Min; Northwestern University

Formato:	Peer-reviewed Article,
Enlaces:	We consider ballistic diffusion limited aggregation on a finite strip $[0, L-1]$ times $\mathbb{Z}_+$ in $\mathbb{Z}^2$ for some $L$ in $\mathbb{Z}_+$. We provide numerical bounds on the growth in the height process.
Fecha:	2001-01-01
Recurso:	Electronic communications in probability

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41.

A Note on Talagrand's Concentration Inequality
Panchenko, Dmitriy; University of New Mexico

Formato:	Peer-reviewed Article,
Enlaces:	In this paper we revisit Talagrand's proof of concentration inequality for empirical processes. We give a different proof of the main technical lemma that guarantees the existence of a certain kernel. Moreover, we generalize the result of Talagrand to a…
Fecha:	2001-01-01
Recurso:	Electronic communications in probability

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42.

Kendall's identity for the first crossing time revisited
Borovkov, Konstantin; University of Melbourne - Burq, Zaeem; University of Melbourne

Formato:	Peer-reviewed Article,
Enlaces:	We give a new relatively compact proof of the famous identity for the distribution of the first hitting time of a linear boundary by a skip-free process with stationary independent increments. The proof uses martingale identities and change of measure.
Fecha:	2001-01-01
Recurso:	Electronic communications in probability

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43.

A Percolation Formula
Schramm, Oded; Microsoft Research

Formato:	Peer-reviewed Article,
Enlaces:	Let $A$ be an arc on the boundary of the unit disk $U$. We prove an asymptotic formula for the probability that there is a percolation cluster $K$ for critical site percolation on the triangular grid in $U$ which intersects…
Fecha:	2001-01-01
Recurso:	Electronic communications in probability

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44.

Large Deviations and Quasi-Potential of a Fleming-Viot Process
Feng, Shui; McMaster University - Xiong, Jie; University of Tennessee

Formato:	Peer-reviewed Article,
Enlaces:	The large deviation principle is established for the Fleming-Viot process with neutral mutation when the process starts from a point on the boundary. Since the diffusion coefficient is degenerate on the boundary, the boundary behavior of the process is investigated…
Fecha:	2002-01-01
Recurso:	Electronic communications in probability

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45.

Canonical Decompositions of Certain Generalized Brownian Bridges
Alili, Larbi; ETH Zurich

Formato:	Peer-reviewed Article,
Enlaces:	We define a generalized Brownian bridge and we provide some information about its filtration. Two decompositions of this process as a semi-martingale are given. The first one is a Volterra decomposition and the second one is its canonical decomposition in…
Fecha:	2002-01-01
Recurso:	Electronic communications in probability

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46.

Further Exponential Generalization of Pitman's $2M-X$ Theorem
Baudoin, Fabrice; Université Paris 6 et Paris 7

Formato:	Peer-reviewed Article,
Enlaces:	We present a class of processes which enjoy an exponential analogue of Pitman's $2M-X$ theorem, improving hence some works of H. Matsumoto and M. Yor.
Fecha:	2002-01-01
Recurso:	Electronic communications in probability

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47.

Asymptotics for Products of Sums and U-statistics
Rempala, Grzegorz; University of Louisville - Wesolowski, Jacek; Politechnika Warszawska

Formato:	Peer-reviewed Article,
Enlaces:	The product of subsequent partial sums of independent, identically distributed, square integrable, positive random variables is asymptotically lognormal. The result extends in a rather routine way to non-degenerate U-statistics.
Fecha:	2002-01-01
Recurso:	Electronic communications in probability

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48.

Some Extensions of an Inequality of Vapnik and Chervonenkis
Panchenko, Dmitriy; University of New Mexico

Formato:	Peer-reviewed Article,
Enlaces:	The inequality of Vapnik and Chervonenkis controls the expectation of the function  by its sample average uniformly over a VC-major class of functions taking into account the size of the expectation. Using Talagrand's kernel method we prove a similar result…
Fecha:	2002-01-01
Recurso:	Electronic communications in probability

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49.

Option Price When the Stock is a Semimartingale
Klebaner, Fima; University Melbourne

Formato:	Peer-reviewed Article,
Enlaces:	The purpose of this note is to give a PDE satisfied by a call option when the price process is a semimartingale. The main result generalizes the PDE in the case when the stock price is a diffusion. Its proof…
Fecha:	2002-01-01
Recurso:	Electronic communications in probability

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50.

Inclusion-Exclusion Redux
Kessler, David; Bar-Ilan University - Schiff, Jeremy; Bar-Ilan University

Formato:	Peer-reviewed Article,
Enlaces:	We present a reordered version of the inclusion-exclusion principle, which is useful when computing the probability of a union of events which are close to independent. The advantages of this formulation are demonstrated in the context of 3 classic problems…
Fecha:	2002-01-01
Recurso:	Electronic communications in probability