Results 71 to 80 of about 14,174 (225)

2‐Adic Quantum Mechanics, Continuous‐Time Quantum Walks, and the Space Discreteness

Fortschritte der Physik, Volume 73, Issue 8, August 2025.
Abstract The authors show that a large class of 2‐adic Schrödinger equations is the scaling limit of certain continuous‐time quantum Markov chains (CTQMCs). Practically, a discretization of such an equation gives a CTQMC. As a practical result, new types of continuous‐time quantum walks (CTQWs) on graphs using two symmetric matrices are constructed ...
W. A. Zúñiga‐Galindo
wiley   +1 more source

Logarithmic Sobolev inequality for diffusion semigroups [PDF]

, 2009
Through the main example of the Ornstein-Uhlenbeck semigroup, the Bakry-Emery criterion is presented as a main tool to get functional inequalities as Poincar\'e or logarithmic Sobolev inequalities.
Gentil, Ivan
core   +1 more source

Gradient Estimates and Applications for SDEs in Hilbert Space with Multiplicative Noise and Dini Continuous Drift

, 2015
Consider the stochastic evolution equation in a separable Hilbert space with a nice multiplicative noise and a locally Dini continuous drift. We prove that for any initial data the equation has a unique (possibly explosive) mild solution.
Wang, Feng-Yu
core   +1 more source

Optimal Zero‐Free Regions for the Independence Polynomial of Bounded Degree Hypergraphs

Random Structures &Algorithms, Volume 66, Issue 4, July 2025.
ABSTRACT In this paper, we investigate the distribution of zeros of the independence polynomial of hypergraphs of maximum degree Δ$$ \Delta $$. For graphs, the largest zero‐free disk around zero was described by Shearer as having radius λs(Δ)=(Δ−1)Δ−1/ΔΔ$$ {\lambda}_s\left(\Delta \right)={\left(\Delta -1\right)}^{\Delta -1}/{\Delta}^{\Delta ...
Ferenc Bencs, Pjotr Buys
wiley   +1 more source

Markov semigroup approach to the analysis of a nonlinear stochastic plant disease model

Electronic Journal of Differential Equations, 2019
In this article, we consider a stochastic plant disease model with logistic growth and saturated incidence rate. We analyze long-term behaviors of densities of the distributions of the solution.
Haokun Qi, Xinzhu Meng, Zhengbo Chang
doaj  

Absolutely continuous Furstenberg measures

Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.
Abstract In this paper, we provide a sufficient condition for a Furstenberg measure generated by a finitely supported measure to be absolutely continuous. Using this, we give completely explicit examples of absolutely continuous Furstenberg measures including examples which are generated by measures which are not symmetric.
Samuel Kittle
wiley   +1 more source

Hausdorff dimensions of irreducible Markov hom tree‐shifts

Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.
Abstract This paper features a Cramér's theorem for finite‐state Markov chains indexed by rooted d$d$‐trees, obtained via the method of types in the classical analysis of large deviations. Along with the theorem comes two applications: an almost‐sure type convergence of sample means and a formula for the Hausdorff dimension of the symbolic space ...
Jung‐Chao Ban, Guan‐Yu Lai, Yu‐Liang Wu   +2 more
wiley   +1 more source

Nonlinear elliptic equations with self-adjoint integro-differential operators and measure data under sign condition on the nonlinearity

Advanced Nonlinear Studies
We study the existence problem for semilinear equations (E): −Au = f(⋅, u) + μ, with Borel measure μ and operator A that generates a symmetric Markov semigroup.
Klimsiak Tomasz
doaj   +1 more source

Quasi regular Dirichlet forms and the stochastic quantization problem

, 2014
After recalling basic features of the theory of symmetric quasi regular Dirichlet forms we show how by applying it to the stochastic quantization equation, with Gaussian space-time noise, one obtains weak solutions in a large invariant set. Subsequently,
Albeverio, Sergio, Ma, Zhi Ming, Röckner, Michael   +2 more
core   +1 more source

Invariance of Gaussian RKHSs Under Koopman Operators of Stochastic Differential Equations With Constant Matrix Coefficients

Proceedings in Applied Mathematics and Mechanics, Volume 25, Issue 1, March 2025.
ABSTRACT We consider the Koopman operator semigroup (Kt)t≥0$(K^t)_{t\ge 0}$ associated with stochastic differential equations of the form dXt=AXtdt+BdWt$dX_t = AX_t\,dt + B\,dW_t$ with constant matrices A$A$ and B$B$ and Brownian motion Wt$W_t$. We prove that the reproducing kernel Hilbert space HC$\mathbb {H}_C$ generated by a Gaussian kernel with a ...
Friedrich M. Philipp, Manuel Schaller, Karl Worthmann, Sebastian Peitz, Feliks Nüske   +4 more
wiley   +1 more source