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Aproximadamente 335 registro(s) hasta el momento: (journal)

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Recurso libre

Lévy Classes and Self-Normalization
Khoshnevisan, Davar; University of Utah

Formato:	Peer-reviewed Article,
Enlaces:	We prove a Chung's law of the iterated logarithm for recurrent linear Markov processes. In order to attain this level of generality, our normalization is random. In particular, when the Markov process in question is a diffusion, we obtain the…
Fecha:	1996-01-01
Recurso:	Electronic journal of probability

Recurso libre

Conditional Moment Representations for Dependent Random Variables
Bryc, Wlodzimierz; University of Cincinnati

Formato:	Peer-reviewed Article,
Enlaces:	The question considered in this paper is which sequences of $p$-integrable random variables can be represented as conditional expectations of a fixed random variable with respect to a given sequence of sigma-fields. For finite families of sigma-fields, explicit inequality equivalent…
Fecha:	1996-01-01
Recurso:	Electronic journal of probability

Recurso libre

Metastability of the Three Dimensional Ising Model on a Torus at Very Low Temperatures
Ben Arous, Gérard; Ecole Normale Supérieure - Cerf, Raphaël; Université Paris Sud

Formato:	Peer-reviewed Article,
Enlaces:	We study the metastability of the stochastic three dimensional Ising model on a finite torus under a small positive magnetic field at very low temperatures.
Fecha:	1996-01-01
Recurso:	Electronic journal of probability

Recurso libre

Random Walk on Periodic Trees
Takacs, Christiane; Universität Linz

Formato:	Peer-reviewed Article,
Enlaces:	Following Lyons (1990, Random Walks and Percolation on Trees) we define a periodic tree, restate its branching number and consider a biased random walk on it. In the case of a transient walk, we describe the walk-invariant random periodic tree…
Fecha:	1997-01-01
Recurso:	Electronic journal of probability

Recurso libre

Points of Positive Density for Smooth Functionals
Chaleyat-Maurel, Mireille; Université de Paris VI - Nualart, David; Universitat de Barcelona

Formato:	Peer-reviewed Article,
Enlaces:	In this paper we show that the set of points where the density of a Wiener functional is strictly positive is an open connected set, assuming some regularity conditions.
Fecha:	1998-01-01
Recurso:	Electronic journal of probability

Recurso libre

On the Approximate Solutions of the Stratonovitch Equation
Feyel, D.; Université Evry - de La Pradelle, A.; Université Paris VI

Formato:	Peer-reviewed Article,
Enlaces:	We present new methods for proving the convergence of the classical approximations of the Stratonovitch equation. We especially make use of the fractional Liouville-valued Sobolev space $W^{r,p}({\cal J}_{\alpha,p})$. We then obtain a support theorem for the capacity $c_{r,p}$.
Fecha:	1998-01-01
Recurso:	Electronic journal of probability

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Measure Attractors for Stochastic Navier-Stokes Equations
Capinski, Marek; Jagiellonian University - Cutland, Nigel J.; University of Hull

Formato:	Peer-reviewed Article,
Enlaces:	We show existence of measure attractors for 2-D stochastic Navier-Stokes equations with general multiplicative noise.
Fecha:	1998-01-01
Recurso:	Electronic journal of probability

Recurso libre

On the Unique Solvability of Some Nonlinear Stochastic PDEs
Yoo, Hyek; University of Minnesota

Formato:	Peer-reviewed Article,
Enlaces:	The Cauchy problem for 1-dimensional nonlinear stochastic partial differential equations is studied. The uniqueness and existence of solutions in $cH^2_p(T)$-space are proved.
Fecha:	1998-01-01
Recurso:	Electronic journal of probability

Recurso libre

Laplace Asymptotic Expansions for Gaussian Functional Integrals
Davies, Ian M.; University of Wales, Swansea

Formato:	Peer-reviewed Article,
Enlaces:	We obtain a Laplace asymptotic expansion, in orders of $\lambda$, of $$ E^\rho_x \left\{ G(\lambda x) e^{-\lambda ^{-2} F(\lambda x)}\right\}$$ the expectation being with respect to a Gaussian process. We extend a result of Pincus and build upon the previous…
Fecha:	1998-01-01
Recurso:	Electronic journal of probability

Recurso libre

10.

Approximating Value Functions for Controlled Degenerate Diffusion Processes by Using Piece-Wise Constant Policies
Krylov, N. V.; University of Minnesota

Formato:	Peer-reviewed Article,
Enlaces:	It is shown that value functions for controlled degenerate diffusion processes can be approximated with error of order $h^{1/3}$ by using policies which are constant on intervals $[kh^{2},(k+1)h^{2})$.
Fecha:	1999-01-01
Recurso:	Electronic journal of probability

Recurso libre

11.

Hierarchically Interacting Fleming-Viot Processes With Selection and Mutation: Multiple Space Time Scale Analysis and Quasi-Equilibria
Dawson, Donald A.; Carleton University - Greven, Andreas; Universitat Erlangen-Nurnberg

Formato:	Peer-reviewed Article,
Enlaces:	Genetic models incorporating resampling and migration are now fairly well-understood. Problems arise in the analysis, if both selection and mutation are incorporated. This paper addresses some aspects of this problem, in particular the analysis of the long-time behaviour before the…
Fecha:	1999-01-01
Recurso:	Electronic journal of probability

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12.

Convergence of Stopped Sums of Weakly Dependent Random Variables
Peligrad, Magda; University of Cincinnati

Formato:	Peer-reviewed Article,
Enlaces:	In this paper we investigate stopped partial sums for weak dependent sequences. In particular, the results are used to obtain new maximal inequalities for strongly mixing sequences and related almost sure results.
Fecha:	1999-01-01
Recurso:	Electronic journal of probability

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13.

Moderate Deviations Type Evaluation for Integral Functionals of Diffusion Processes
Liptser, R.; Tel Aviv University - Spokoiny, V.; Weierstrass Institute for Applied Analysis and Stochastics

Formato:	Peer-reviewed Article,
Enlaces:	We establish a large deviations type evaluation for the family of integral functionals.
Fecha:	1999-01-01
Recurso:	Electronic journal of probability

Recurso libre

14.

On Stochastic Euler equation in $\mathbb{R}^d$
Mikulevicius, R.; Vilnius University - Valiukevicius, G.; Vilnius University

Formato:	Peer-reviewed Article,
Enlaces:	Following the Arnold-Marsden-Ebin approach, we prove local (global in 2-D) existence and uniqueness of classical (Hölder class) solutions of stochastic Euler equation with random forcing.
Fecha:	2000-01-01
Recurso:	Electronic journal of probability

Recurso libre

15.

Strict Concavity of the Half Plane Intersection Exponent for Planar Brownian Motion
Lawler, Gregory F.; Duke University and Cornell University

Formato:	Peer-reviewed Article,
Enlaces:	The intersection exponents for planar Brownian motion measure the exponential decay of probabilities of nonintersection of paths. We study the intersection exponent $\xi(\lambda_1,\lambda_2)$ for Brownian motion restricted to a half plane which by conformal invariance is the same as Brownian…
Fecha:	2000-01-01
Recurso:	Electronic journal of probability

Recurso libre

16.

The Laws of Chung and Hirsch for Cauchy's Principal Values Related to Brownian Local Times
Hu, Yueyun; Universite Paris VI

Formato:	Peer-reviewed Article,
Enlaces:	Two Chung-type and Hirsch-type laws are established to describe the liminf asymptotic behaviours of the Cauchy's principal values related to Brownian local times. These results are generalized to a class of Brownian additive functionals.
Fecha:	2000-01-01
Recurso:	Electronic journal of probability

Recurso libre

17.

The Abstract Riemannian Path Space
Feyel, D.; Université Evry - de La Pradelle, A.; Université Paris VI

Formato:	Peer-reviewed Article,
Enlaces:	On the Wiener space $\Omega$, we introduce an abstract Ricci process $A_t$ and a pseudo-gradient $F\rightarrow{F}^\sharp$ which are compatible through an integration by parts formula. They give rise to a $\sharp$-Sobolev space on $\Omega$, logarithmic Sobolev inequalities, and capacities, which…
Fecha:	2000-01-01
Recurso:	Electronic journal of probability

Recurso libre

18.

SPDEs in $L_q( ( 0,\tau ] , L_p)$ Spaces
Krylov, N. V.; University of Minnesota

Formato:	Peer-reviewed Article,
Enlaces:	Existence and uniqueness theorems are presented for evolutional stochastic partial differential equations of second order in $L_p$-spaces with weights allowing derivatives of solutions to blow up near the boundary. It is allowed for the powers of summability with respect to…
Fecha:	2000-01-01
Recurso:	Electronic journal of probability

Recurso libre

19.

A Note on Limiting Behaviour of Disastrous Environment Exponents
Mountford, Thomas S.; University of California, Los Angeles

Formato:	Peer-reviewed Article,
Enlaces:	We consider a random walk on the $d$-dimensional lattice and investigate the asymptotic probability of the walk avoiding a "disaster" (points put down according to a regular Poisson process on space-time). We show that, given the Poisson process points, almost…
Fecha:	2001-01-01
Recurso:	Electronic journal of probability

Recurso libre

20.

Statistically Stationary Solutions to the 3D Navier-Stokes Equations do not show Singularities
Flandoli, Franco; Universit&agrave di Pisa - Romito, Marco; Universit&agrave di Firenze

Formato:	Peer-reviewed Article,
Enlaces:	If $\mu$ is a probability measure on the set of suitable weak solutions of the 3D Navier-Stokes equations, invariant for the time-shift, with finite mean dissipation rate, then at every time $t$ the set of singular points is empty $\mu$-a.s.…
Fecha:	2001-01-01
Recurso:	Electronic journal of probability

Recurso libre

21.

Transition Density Asymptotics for Some Diffusion Processes with Multi-Fractal Structures
Barlow, Martin T.; University of British Columbia - Kumagai, Takashi; Kyoto University

Formato:	Peer-reviewed Article,
Enlaces:	We study the asymptotics as $t \to 0$ of the transition density of a class of $\mu$-symmetric diffusions in the case when the measure $\mu$ has a multi-fractal structure. These diffusions include singular time changes of Brownian motion on the…
Fecha:	2001-01-01
Recurso:	Electronic journal of probability

Recurso libre

22.

A Note on Krylov's $L_p$-Theory for Systems of SPDEs
Mikulevicius, R.; Vilnius University - Rozovskii, B.; University of Southern California

Formato:	Peer-reviewed Article,
Enlaces:	We extend Krylov's $L_p$-solvability theory to the Cauchy problem for systems of parabolic stochastic partial differential equations. Some additional integrability and regularity properties are also presented.
Fecha:	2001-01-01
Recurso:	Electronic journal of probability

Recurso libre

23.

The Joint Law of Ages and Residual Lifetimes for Two Schemes of Regenerative Sets
Lambert, Amaury; Université Pierre et Marie Curie

Formato:	Peer-reviewed Article,
Enlaces:	We are interested in the component intervals of the complements of a monotone sequence $R_n \subseteq \dots \subseteq R_1$ of regenerative sets, for two natural embeddings. One is based on Bochner's subordination, and one on the intersection of independent regenerative…
Fecha:	2001-01-01
Recurso:	Electronic journal of probability

Recurso libre

24.

Small Diffusion and Fast Dying Out Asymptotics for Superprocesses as Non-Hamiltonian Quasiclassics for Evolution Equations
Kolokoltsov, Vassili N.; Nottingham Trent University

Formato:	Peer-reviewed Article,
Enlaces:	The small diffusion and fast dying out asymptotics is calculated for nonlinear equations of a class of superprocesses on manifolds, and the corresponding logarithmic limit of the solution is shown to be given by a solution of a certain problem…
Fecha:	2001-01-01
Recurso:	Electronic journal of probability

Recurso libre

25.

LocalSub-Gaussian Estimates on Graphs: The Strongly Recurrent Case
Telcs, Andras; IMC

Formato:	Peer-reviewed Article,
Enlaces:	This paper proves upper and lower off-diagonal, sub-Gaussian transition probabilities estimates for strongly recurrent random walks under sufficient and necessary conditions. Several equivalent conditions are given showing their particular role and influence on the connection between the sub-Gaussian estimates, parabolic…
Fecha:	2001-01-01
Recurso:	Electronic journal of probability

Recurso libre

26.

One-Arm Exponent for Critical 2D Percolation
Lawler, Gregory F.; Duke University and Cornell University - Schramm, Oded; Microsoft Research - Werner, Wendelin; Université Paris-Sud and IUF

Formato:	Peer-reviewed Article,
Enlaces:	The probability that the cluster of the origin in critical site percolation on the triangular grid has diameter larger than $R$ is proved to decay like $R$ to the power $5/48$ as $R$ goes to infinity.
Fecha:	2002-01-01
Recurso:	Electronic journal of probability

Recurso libre

27.

Random Walks on Trees and Matchings
Diaconis, Persi; Stanford University - Holmes, Susan; Stanford University

Formato:	Peer-reviewed Article,
Enlaces:	We give sharp rates of convergence for a natural Markov chain on the space of phylogenetic trees and dually for the natural random walk on the set of perfect matchings in the complete graph on $2n$ vertices. Roughly, the results…
Fecha:	2002-01-01
Recurso:	Electronic journal of probability

Recurso libre

28.

Self-normalized Large Deviations for Markov Chains
Faure, Mathieu; Universit'e de Marne La Vall'ee

Formato:	Peer-reviewed Article,
Enlaces:	We prove a self-normalized large deviation principle for sums of Banach space valued functions of a Markov chain. Self-normalization applies to situations for which a full large deviation principle is not available. We follow the lead of Dembo and Shao…
Fecha:	2002-01-01
Recurso:	Electronic journal of probability

Recurso libre

29.

Truncated correlations in the stirring process with births and deaths
De Masi, Anna; Università di L'Aquila - Presutti, Errico; Università di Roma ''Tor Vergata'' - Tsagkarogiannis, Dimitrios; Università di Roma ''Tor Vergata'' - Vares, Maria Eulalia; Centro Brasileiro de Pesquisas Fisicas

Formato:	Peer-reviewed Article
Enlaces:	We consider the stirring process in the interval $\Lambda_N:=[-N,N]$ of $\mathbb Z$ with births and deaths taking place in the intervals $I_+:=(N-K,N]$, and respectively $I_-:=[-N,-N+K)$, $1 \le K <N$. We prove bounds on the truncated moments uniform in $N$ which…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

30.

Localization of solutions to stochastic porous media equations: finite speed of propagation
Barbu, Viorel; Al.I.Cuza University - Roeckner, Michael; Bielefeld University

Formato:	Peer-reviewed Article
Enlaces:	It is proved that the solutions to the slow diffusion stochastic porous media equation $dX-{\Delta}( \|X\|^{m-1}X )dt=\sigma(X)dW_t,$ $ 1< m\le 5,$ in $\mathcal{O}\subset\mathbb{R}^d,\ d=1,2,3,$ have the property of finite speed of propagation of disturbances for $\mathbb{P}\text{-a.s.}$ ${\omega}\in{\Omega}$ on a sufficiently…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

31.

Rates of convergence in the strong invariance principle under projective criteria
Dedecker, Jérôme; Université Paris Descartes - Doukhan, Paul; Université Cergy-Pontoise - Merlevède, Florence; Université Paris-Est Marne-la-Vallée

Formato:	Peer-reviewed Article
Enlaces:	We give rates of convergence in the strong invariance principle for stationary sequences satisfying some projective criteria. The conditions are expressed in terms of conditional expectations of partial sums of the initial sequence. Our results apply to a large variety…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

32.

On the existence of a time inhomogeneous skew Brownian motion and some related laws
Étoré, Pierre; Université de Grenoble - Martinez, Miguel; Université Paris-Est Marne-la-Vallée

Formato:	Peer-reviewed Article
Enlaces:	This article is devoted to the construction of a solution for the "skew inhomogeneous Brownian motion" equation, which first appear in a seminal paper by Sophie Weinryb (1983). We investigate some laws related to the constructed process. In particular, using…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

33.

On the internal distance in the interlacement set
Černý, Jiří; University of Vienna - Popov, Serguei; University of Campinas UNICAMP

Formato:	Peer-reviewed Article
Enlaces:	We prove a shape theorem for the internal (graph) distance on the interlacement set $\mathcal{I}^u$ of the random interlacement model on $\mathbb Z^d$, $d\ge 3$. We provide large deviation estimates for the internal distance of distant points in this set, and use these estimates…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

34.

Stochastic representation of entropy solutions of semilinear elliptic obstacle problems with measure data
Rozkosz, Andrzej; Nicolaus Copernicus University - Slominski, Leszek; Nicolaus Copernicus University

Formato:	Peer-reviewed Article
Enlaces:	We consider semilinear obstacle problem with measure data associated with uniformly elliptic divergence form operator. We prove existence and uniqueness of entropy solution of the problem and provide stochastic representation of the solution in terms of some generalized reflected backward…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

35.

Distribution of the supremum location of stationary processes
Samorodnitsky, Gennady; Cornell University - Shen, Yi; Cornell University

Formato:	Peer-reviewed Article
Enlaces:	The location of the unique supremum of a stationary process on an interval does not need to be uniformly distributed over that interval. We describe all possible distributions of the supremum location for a broad class of such stationary processes. We show that, in…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

36.

On cover times for 2D lattices
Ding, Jian; Stanford University

Formato:	Peer-reviewed Article
Enlaces:	We study the cover time $\tau_{\mathrm{cov}}$ by (continuous-time) random walk on the 2D box of side length $n$ with wired boundary or on the 2D torus,and show that in both cases with probability approaching $1$ as $n$ increases,$\sqrt{\tau_{\mathrm{cov}}}=\sqrt{2n^2 [\sqrt{2/\pi} \log…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

37.

Transport-Entropy inequalities on the line
Gozlan, Nathael; Université Marne-la-Vallée

Formato:	Peer-reviewed Article
Enlaces:	We give a necessary and sucient condition for transport entropy inequalities in dimension one. As an application, we construct a new example of a probability distribution verifying Talagrand's T2 inequality and not the logarithmic Sobolev inequality.
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

38.

Ergodicity of self-attracting motion
Kleptsyn, Victor; Université de Rennes 1 - Kurtzmann, Aline; Université de Lorraine

Formato:	Peer-reviewed Article
Enlaces:	We study the asymptotic behaviour of a class of self-attracting motions on $\mathbb{R}^d$. We prove the decrease of the free energy related to the system and mix it together with stochastic approximation methods. We finally obtain the (limit-quotient) ergodicity of…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

39.

Stochastic PDEs with multiscale structure
Hairer, Martin; University of Warwick - Kelly, David; University of Warwick

Formato:	Peer-reviewed Article
Enlaces:	We study the spatial homogenisation of parabolic linear stochastic PDEs exhibiting a two-scale structure both at the level of the linear operator and at the level of the Gaussiandriving noise. We show that in some cases, in particular when the forcing is given…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

40.

A clever (self-repelling) burglar
Dumaz, Laure; École Normale Supérieure, Université Paris-Sud, BME Budapest

Formato:	Peer-reviewed Article
Enlaces:	We derive the following property of the "true self-repelling motion", a continuous real-valued self-interacting process $(X_t, t \ge 0)$ introduced by Balint Toth and Wendelin Werner. Conditionally on its occupation time measure at time one (which is the information about…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

41.

Stein's method, heat kernel, and traces of powers of elements of compact Lie groups
Fulman, Jason; University of Southern California

Formato:	Peer-reviewed Article
Enlaces:	Combining Stein's method with heat kernel techniques, we show that the trace of the jth power of an element of U(n,C), USp(n,C), or SO(n,R) has a normal limit with error term C j/n, with C an absolute constant. In contrast to…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

42.

Penalizing null recurrent diffusions
Profeta, Christophe; Université d'Evry val d'Essonne

Formato:	Peer-reviewed Article
Enlaces:	We present some limit theorems for the normalized laws (with respect to functionals involving last passage times at a given level $a$ up to time $t$) of a large class of null recurrent diffusions. Our results rely on hypotheses on…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

43.

The compact support property for the $\Lambda$-Fleming-Viot process with underlying Brownian motion
Liu, Huili; Concordia University - Zhou, Xiaowen; Concordia University

Formato:	Peer-reviewed Article
Enlaces:	Using the lookdown construction of Donnelly and Kurtz we prove that, at any fixed positive time, the $\Lambda$-Fleming-Viot process with underlying Brownian motion has a compact support provided that the corresponding $\Lambda$-coalescent comes down from infinity not too slowly. We…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

44.

Renewal theorems for random walk in random scenery
Guillotin-Plantard, Nadine; Université Lyon 1 - Pène, Françoise; Brest University

Formato:	Peer-reviewed Article
Enlaces:	In this work, we establish renewal-type theorems, with precise asymptotics, in in the context of random walk in random sceneries.
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

45.

Lower bound estimate of the spectral gap for simple exclusion process with degenerate rates
Nagahata, Yukio; Niigata University

Formato:	Peer-reviewed Article
Enlaces:	We consider exclusion process with degenerate rates in a finite torus with size $n$. This model is a simplified model for some peculiar phenomena of the "glassy" dynamics. We prove that the spectral gap is bounded below by $C\rho^4/n^2$, where $\rho =…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

46.

Ergodic theory on stationary random graphs
Benjamini, Itai; Weizmann institute of science - Curien, Nicolas; ÉNS Paris

Formato:	Peer-reviewed Article
Enlaces:	A stationary random graph is a random rooted graph whose distribution is invariant under re-rooting along the simple random walk. We adapt the entropy technique developed for Cayley graphs and show in particular that stationary random graphs of subexponential growth…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

47.

Jump type SDEs for self-similar processes
Döring, Leif; Université Paris 6 - Barczy, Matyas; University of Debrecen

Formato:	Peer-reviewed Article
Enlaces:	We present a new approach to positive self-similar Markov processes (pssMps) by reformulating Lamperti's transformation via jump type SDEs. As applications, we give direct constructions of pssMps (re)started continuously at zero if the Lamperti transformed Lévy process is spectrally negative. Our paper…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

48.

A quantitative central limit theorem for the random walk among random conductances
Mourrat, Jean-Christophe; EPFL

Formato:	Peer-reviewed Article
Enlaces:	We consider the random walk among random conductances on $\mathbb{Z}^d$. We assume that the conductances are independent, identically distributed and uniformly bounded away from $0$ and infinity. We obtain a quantitative version of the central limit theorem for this random…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

49.

Numerical schemes for G-Expectations
Dolinsky, Yan; ETH Zurich and Hebrew University of Jerusalem

Formato:	Peer-reviewed Article
Enlaces:	We consider a discrete time analog of $G$-expectations and we prove that in the case where the time step goes to zero the corresponding values converge to the original $G$-expectation. Furthermore we provide error estimates for the convergence rate. This paper is continuation of…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability

Recurso libre

50.

Correlation-length bounds, and estimates for intermittent islands in parabolic SPDEs
Conus, Daniel; Lehigh University - Joseph, Mathew; University of Utah - Khoshnevisan, Davar; University of Utah

Formato:	Peer-reviewed Article
Enlaces:	We consider the nonlinear stochastic heat equation in one dimension. Under some conditions on the nonlinearity, we show that the "peaks" of the solution are rare, almost fractal like. We also provide an upper bound on the length of the "islands", the regions…
Fecha:	2012-01-01
Recurso:	Electronic journal of probability