Zobrazeno 1 - 10
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pro vyhledávání: '"Z. -D."'
Autor:
Bahsoun, Wael, Phalempin, Maxence
We study $\mathbb Z^d$-map lattices coupled by collision. We obtain a first order approximation for the first collision rate at a site $\textbf{p}^*\in \mathbb Z^d$ and we prove a distributional convergence for the first collision time to an exponent
Externí odkaz:
http://arxiv.org/abs/2412.12803
Autor:
de Naurois, Ferdinand Jacobé
We give an example of a sequence of positive harmonic functions on $\mathbb{Z}^d$, $d\geq 2$, that converges pointwise to a non-harmonic function.
Externí odkaz:
http://arxiv.org/abs/2412.18465
In this paper, we investigate random operators on $\mathbb{Z}^d$ with H\"older continuously distributed potentials and the long-range hopping. The hopping amplitude decays with the inter-particle distance $\|\bm x\|$ as $e^{-\log^{\rho}(\|\bm x\|+1)}
Externí odkaz:
http://arxiv.org/abs/2412.17262
Autor:
Fish, Alexander, Skinner, Sean
We study expansiveness properties of positive measure subsets of ergodic $\mathbb{Z}^d$-actions along two different types of structured subsets of $\mathbb{Z}^d$, namely, cyclic subgroups and images of integer polynomials. We prove quantitative expan
Externí odkaz:
http://arxiv.org/abs/2409.18363
Autor:
Drewlo, Jamal
In this work, we present a comprehensive construction that proves the existence of strictly ergodic Toeplitz $\mathbb{Z}^d$-subshifts which admit arbitrary given entropy. Moreover, any of these constructed subshifts will have the same maximal equicon
Externí odkaz:
http://arxiv.org/abs/2410.21915
We obtain a perturbative proof of localization for quasiperiodic operators on $\ell^2(\Z^d)$ with one-dimensional phase space and monotone sampling functions, in the regime of small hopping. The proof is based on an iterative scheme which can be cons
Externí odkaz:
http://arxiv.org/abs/2408.05650
Autor:
Shi, Yunfeng, Wen, Li
We establish quantitative Green's function estimates for a class of quasi-periodic (QP) operators on $\mathbb{Z}^d$ with power-law long-range hopping and analytic cosine type potentials. As applications, we prove the arithmetic version of localizatio
Externí odkaz:
http://arxiv.org/abs/2408.01913
We establish the Anderson localization and exponential dynamical localization for a class of quasi-periodic Schr\"odinger operators on $\mathbb{Z}^d$ with bounded or unbounded Lipschitz monotone potentials via multi-scale analysis based on Rellich fu
Externí odkaz:
http://arxiv.org/abs/2407.01970
Autor:
Krishnan, Kesav, Ray, Gourab
We prove that the disordered monomer-dimer model does not admit infinite volume incongruent ground states in $\mathbb{Z}^d$ which can be obtained as a limit of finite volume ground states. Furthermore, we also prove that these ground states are stabl
Externí odkaz:
http://arxiv.org/abs/2406.13089