Zobrazeno 1 - 10
of 232
pro vyhledávání: '"Molchanov, Stanislav A."'
Autor:
Margarint, Vlad, Molchanov, Stanislav
The first step in the formulation and study of the Riemann Hypothesis is the analytic continuation of the Riemann Zeta Function (RZF) in the full Complex Plane with a pole at $s=1$. In the current work, we study the analytic continuation of two rando
Externí odkaz:
http://arxiv.org/abs/2410.03044
Autor:
Paul, Madhumita, Molchanov, Stanislav
The paper contains the probabilistic analysis of the Brownian motion on the simplest quantum graph, spider: a system of N-half axis connected only at the graph's origin by the simplest (so-called Kirchhoff's) gluing conditions. The limit theorems for
Externí odkaz:
http://arxiv.org/abs/2405.04439
The research explores a high irregularity, commonly referred to as intermittency, of the solution to the non-stationary parabolic Anderson problem: \begin{equation*} \frac{\partial u}{\partial t} = \varkappa \mathcal{L}u(t,x) + \xi_{t}(x)u(t,x) \end{
Externí odkaz:
http://arxiv.org/abs/2403.13977
We consider a continuous-time branching random walk on $\mathbb{Z}$ in a random non homogeneous environment. Particles can walk on the lattice points or disappear with random intensities. The process starts with one particle at initial time $t=0$. It
Externí odkaz:
http://arxiv.org/abs/2312.05872
We study the non-stationary Anderson parabolic problem on the lattice $Z^d$, i.e., the equation \begin{equation}\label{andersonmodel} \begin{aligned} \frac{\partial u}{\partial t} &=\varkappa \mathcal{A}u(t,x)+\xi_{t}(x)u(t,x) u(0,x) &\equiv 1, \, (t
Externí odkaz:
http://arxiv.org/abs/2301.01242
In this paper, we study the Galton-Watson process in the random environment for the particular case when the number of the offsprings in each generation has the fractional linear generation function with random parameters. In this case, the distribut
Externí odkaz:
http://arxiv.org/abs/2011.14171
The goal of this paper is the spectral analysis of the Schr\"{o}dinger type operator $H=L+V$, the perturbation of the Taibleson-Vladimirov multiplier $L=\mathfrak{D}^{\alpha}$ by a potential $V$. Assuming that $V$ belongs to a certain class of potent
Externí odkaz:
http://arxiv.org/abs/2006.02263
The goal of this paper is twofold. We prove that the operator $H=L+V$ , a perturbation of the Taibleson-Vladimirov multiplier $L=\mathfrak{D}^{\alpha}$ by a potential $V(x)=b\left\Vert x\right\Vert ^{-\alpha},$ $b\geq b_{\ast},$ is essentially self-a
Externí odkaz:
http://arxiv.org/abs/2006.01821
We consider the time evolution of a lattice branching random walk with local perturbations. Under certain conditions, we prove the Carleman type estimation for the moments of a particle subpopulation number and show the existence of a steady state.
Externí odkaz:
http://arxiv.org/abs/1903.06270
We consider a continuous-time symmetric branching random walk on the $d$-dimensional lattice, $d\ge 1$, and assume that at the initial moment there is one particle at every lattice point. Moreover, we assume that the underlying random walk has a fini
Externí odkaz:
http://arxiv.org/abs/1903.02284