A. Shamov

activity

20102026

most citedWeak and Strong disorder for the stochastic heat equation and the continuous directed polymer in

d \geq 3

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing 2016Show all

3 papers · 1 filter

math.PR2016

Kernels of conditional determinantal measures and the proof of the Lyons-Peres Conjecture

Alexander I. Bufetov, Yanqi Qiu, Alexander Shamov

The main result of this paper, Theorem 1.5, establishes a conjecture of Lyons and Peres: for a determinantal point process governed by a reproducing kernel, the system of kernels s…

math.PR2016

Where does a random process hit a fractal barrier?

Itai Benjamini, Alexander Shamov

Given a Brownian path $β (t)$ on $R$ , starting at $1$ , a.s. there is a singular time set $T_{β}$ , such that the first hitting time of $β$ by an independent Brownian motion, s…

math.PR2016★ 1 cited

Weak and Strong disorder for the stochastic heat equation and the continuous directed polymer in $d \geq 3$

Chiranjib Mukherjee, Alexander Shamov, Ofer Zeitouni

We consider the smoothed multiplicative noise stochastic heat equation $$d u_{\eps,t}= \frac 12 Δu_{\eps,t} d t+ β\eps^{\frac{d-2}{2}}\, \, u_{\eps, t} \, d B_{\eps,t} , \;\;u_{\ep…

Kernels of conditional determinantal measures and the proof of the Lyons-Peres Conjecture

Where does a random process hit a fractal barrier?

Weak and Strong disorder for the stochastic heat equation and the continuous directed polymer in d≥3

Weak and Strong disorder for the stochastic heat equation and the continuous directed polymer in $d \geq 3$