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pro vyhledávání: '"Bazaes, Rodrigo A."'
We prove that there is a constant $\overline C\in (0,\infty)$ such that the effective mass $m(\alpha)$ of the Fr\"ohlich Polaron satisfies $m(\alpha) \geq \overline C \alpha^4$, which is sharp according to a long-standing prediction of Landau-Pekar [
Externí odkaz:
http://arxiv.org/abs/2307.13058
Autor:
Bazaes, Rodrigo, Mukherjee, Chiranjib
Very recently, Junk [11] showed that for directed polymers in bounded random environments, the weak disorder (uniform integrable) phase implies that the polymer martingale is bounded in $L^p$ for some $p>1$ and also in $L^q$ for some $q<0$. Here, we
Externí odkaz:
http://arxiv.org/abs/2212.06029
We construct and study properties of an infinite dimensional analog of Kahane's theory of Gaussian multiplicative chaos \cite{K85}. Namely, we consider a random field defined with respect to space-time white noise integrated w.r.t. Brownian paths in
Externí odkaz:
http://arxiv.org/abs/2211.08996
We prove homogenization properties of random Hamilton-Jacobi-Bellman (HJB) equations on continuum percolation clusters, almost surely w.r.t. the law of the environment when the origin belongs to the unbounded component in the continuum. Here, the vis
Externí odkaz:
http://arxiv.org/abs/2208.07269
For a random walk in a uniformly elliptic and i.i.d. environment on $\mathbb Z^d$ with $d \geq 4$, we show that the quenched and annealed large deviations rate functions agree on any compact set contained in the boundary $\partial \mathbb{D}:=\{ x \i
Externí odkaz:
http://arxiv.org/abs/2101.04606
Autor:
Bazaes, Rodrigo
We introduce the notion of \emph{localization at the boundary} for conditioned random walks in i.i.d. and uniformly elliptic random environment on $\mathbb{Z}^d$, in dimensions two and higher. Informally, this means that the walk spends a non-trivial
Externí odkaz:
http://arxiv.org/abs/1911.06430
In 2003, Varadhan [V03] developed a robust method for proving quenched and averaged large deviations for random walks in a uniformly elliptic and i.i.d. environment (RWRE) on $\mathbb Z^d$. One fundamental question which remained open was to determin
Externí odkaz:
http://arxiv.org/abs/1906.05328
Publikováno v:
In Stochastic Processes and their Applications April 2023 158:208-237
Autor:
Bazaes, Rodrigo1 (AUTHOR), Lammers, Isabel1 (AUTHOR), Mukherjee, Chiranjib1 (AUTHOR) chiranjib.mukherjee@uni-muenster.de
Publikováno v:
Probability Theory & Related Fields. Dec2024, Vol. 190 Issue 3/4, p753-801. 49p.
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