Electronic Journal of Probability最新文献_第2页

From Berry–Esseen to super-exponential 从贝里-埃森到超指数

IF 1.4 3区数学

Electronic Journal of Probability Pub Date : 2024-01-01 DOI: 10.1214/23-ejp1068

Klara Courteaut, Kurt Johansson, Gaultier Lambert

引用次数: 0

On Gilles Pisier’s approach to Gaussian concentration, isoperimetry, and Poincaré-type inequalities 论吉勒-皮西埃的高斯集中、等距测量和庞加莱式不等式方法

IF 1.4 3区数学

Electronic Journal of Probability Pub Date : 2024-01-01 DOI: 10.1214/24-ejp1104

Sergey G. Bobkov, Bruno Volzone

引用次数: 0

Stochastic evolution equations with Wick-polynomial nonlinearities 具有wick -多项式非线性的随机演化方程

IF 1.4 3区数学

Electronic Journal of Probability Pub Date : 2023-03-10 DOI: 10.1214/18-EJP241

T. Levajković, S. Pilipovic, D. Seleši, M. Zigic

引用次数: 5

Wasserstein contraction and spectral gap of slice sampling revisited 重新讨论了切片采样的Wasserstein收缩和谱隙

3区数学

Electronic Journal of Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ejp1030

Philip Schär

引用次数: 1

Contact process in an evolving random environment 随机环境下的接触过程

3区数学

Electronic Journal of Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ejp1002

Marco Seiler, Anja Sturm

{"title":"Contact process in an evolving random environment","authors":"Marco Seiler, Anja Sturm","doi":"10.1214/23-ejp1002","DOIUrl":"https://doi.org/10.1214/23-ejp1002","url":null,"abstract":"In this paper we introduce a contact process in an evolving random environment (CPERE) on a connected and transitive graph with bounded degree, where we assume that this environment is described through an ergodic spin systems with finite range. We show that under a certain growth condition the phase transition of survival is independent of the initial configuration of the process. We study the invariant laws of the CPERE and show that under aforementioned growth condition the phase transition for survival coincides with the phase transition of non-triviality of the upper invariant law. Furthermore, we prove continuity properties for the survival probability and derive equivalent conditions for complete convergence, in an analogous way as for the classical contact process. We then focus on the special case, where the evolving random environment is described through a dynamical percolation. We show that the contact process on a dynamical percolation on the d-dimensional integers dies out almost surely at criticality and complete convergence holds for all parameter choices. In the end we derive some comparison results between a dynamical percolation and ergodic spin systems with finite range such that we get bounds on the survival probability of a contact process in an evolving random environment and we determine in this case that complete convergence holds in a certain parameter regime.","PeriodicalId":50538,"journal":{"name":"Electronic Journal of Probability","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136202544","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

A composite generalization of Ville’s martingale theorem using e-processes 用e过程对维尔鞅定理的复合推广

3区数学

Electronic Journal of Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ejp1019

Johannes Ruf, Martin Larsson, Wouter M. Koolen, Aaditya Ramdas

引用次数: 0

Sharp estimates for martingale transforms with unbounded transforming sequences 具有无界变换序列的鞅变换的Sharp估计

IF 1.4 3区数学

Electronic Journal of Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ejp953

T. Gałązka, A. Osȩkowski

引用次数: 0

Simple random walk on Z2 perturbed on the axes (renewal case) 在坐标轴上扰动的Z2上的简单随机游走(更新情况)

IF 1.4 3区数学

Electronic Journal of Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ejp969

Pierre Andreoletti, P. Debs

引用次数: 0

Lévy flows and associated stochastic PDEs 柳青流动和相关的随机偏微分方程

IF 1.4 3区数学

Electronic Journal of Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ejp959

Arvind Nath, Suprio Bhar

引用次数: 1

A micro-macro variational formula for the free energy of a many-body system with unbounded marks 具有无界标记的多体系统自由能的微观-宏观变分公式

3区数学

Electronic Journal of Probability Pub Date : 2023-01-01 DOI: 10.1214/23-ejp1014

Orphée Collin, Benedikt Jahnel, Wolfgang König

{"title":"A micro-macro variational formula for the free energy of a many-body system with unbounded marks","authors":"Orphée Collin, Benedikt Jahnel, Wolfgang König","doi":"10.1214/23-ejp1014","DOIUrl":"https://doi.org/10.1214/23-ejp1014","url":null,"abstract":"The interacting quantum Bose gas is a random ensemble of many Brownian bridges (cycles) of various lengths with interactions between any pair of legs of the cycles. It is one of the standard mathematical models in which a proof for the famous Bose–Einstein condensation phase transition is sought for. A qualitative understanding of the free energy would be helpful, but this is currently far out of reach. In this paper, we demonstrate a path towards gaining such an understanding for a simplified version of the model with deterministic boxes instead of Brownian cycles. This model is a marked Poisson point process with unbounded marks containing particles and bounded-reach interactions between the particles. Even though it is not a quantum model, it is close to that in spirit. We derive an explicit and interpretable variational formula in the thermodynamic limit for the limiting free energy of the canonical ensemble for any value of the particle density. This formula features all relevant physical quantities of the model, like the microscopic and the macroscopic particle densities, together with their mutual and self-energies and their entropies. The proof method comprises a two-step meso-macro large-deviation approach for marked Poisson point processes and an explicit distinction into small and large marks; an application of well-known level-three principles á la Georgii/Zessin is not possible because of the appearance of macro marks. The characteristic variational formula enables us to prove a number of properties of the limiting free energy as a function of the particle density, like differentiability and explicit upper and lower bounds, and a qualitative picture below and above the critical threshold (if it is finite). This proves a modified saturation nature of the phase transition. However, we have not yet succeeded in proving the existence of this phase transition.","PeriodicalId":50538,"journal":{"name":"Electronic Journal of Probability","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135212403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0