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of 28
pro vyhledávání: '"Gaudreau Lamarre"'
In this thesis, we provide a review of the theories of C*-algebras and free probability, and we offer a survey of some applications of free probability in the study of the spectrum of random matrices. Then, we study the occurence of *-freeness in ten
Externí odkaz:
http://hdl.handle.net/10393/32611
Autor:
Gaudreau Lamarre, Pierre Yves1 (AUTHOR), Lin, Yier1 (AUTHOR) ylin10@uchicago.edu, Tsai, Li-Cheng2 (AUTHOR)
Publikováno v:
Probability Theory & Related Fields. Apr2023, Vol. 185 Issue 3/4, p885-920. 36p.
Publikováno v:
In Advances in Applied Mathematics February 2017 83:47-80
Autor:
Gaudreau Lamarre, Pierre Yves
Publikováno v:
Stochastics and Partial Differential Equations: Analysis and Computations. 10:1451-1499
Let $$\xi $$ be a Gaussian white noise on $${\mathbb {R}}^d$$ ( $$d=1,2,3$$ ). Let $$(\xi _\varepsilon )_{\varepsilon >0}$$ be continuous Gaussian processes such that $$\xi _\varepsilon \rightarrow \xi $$ as $$\varepsilon \rightarrow 0$$ , defined by
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e2b6385604f0db3802cc46480f2ec6d4
https://doi.org/10.1007/s40072-021-00212-y
https://doi.org/10.1007/s40072-021-00212-y
Akademický článek
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Publikováno v:
Annales Henri Poincaré. 21:2259-2299
We develop a technique for proving number rigidity (in the sense of Ghosh and Peres in Duke Math J 166(10):1789–1858, 2017) of the spectrum of general random Schrodinger operators (RSOs). Our method makes use of Feynman–Kac formulas to estimate t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5422a2077cc0fdb1e7b9905176d8ab75
https://doi.org/10.1007/s00023-020-00921-5
https://doi.org/10.1007/s00023-020-00921-5
Publikováno v:
Stochastic Partial Differential Equations: Analysis & Computations; Dec2022, Vol. 10 Issue 4, p1451-1499, 49p
Consider a random Schrödinger-type operator of the form $H:=-H_X+V+ξ$ acting on a general graph $\mathscr G=(\mathscr V,\mathscr E)$, where $H_X$ is the generator of a Markov process $X$ on $\mathscr G$, $V$ is a deterministic potential with suffic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d867d78b20598385f0f3e7ca7cb7f12f
In this paper, we consider the KPZ equation under the weak noise scaling. That is, we introduce a small parameter $\sqrt{\varepsilon}$ in front of the noise and let $\varepsilon \to 0$. We prove that the one-point large deviation rate function has a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7f0388610cca0dcd5fca8cee6d2b8b4f
Autor:
Gaudreau Lamarre, Pierre Yves
Publikováno v:
Electronic Journal of Probability. 26
Let H:=−12Δ+V be a one-dimensional continuum Schrodinger operator. Consider Hˆ:=H+ξ, where ξ is a translation invariant Gaussian noise. Under some assumptions on ξ, we prove that if V is locally integrable, bounded below, and grows faster than
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::97dc6c553b3fbaa7cef7296c9466179a
https://doi.org/10.1214/21-ejp654
https://doi.org/10.1214/21-ejp654