Zobrazeno 1 - 10
of 763
pro vyhledávání: '"Kumagai, Takashi"'
Homogenization for non-local operators in periodic environments has been studied intensively. So far, these works are mainly devoted to the qualitative results, that is, to determine explicitly the operators in the limit. To the best of authors' know
Externí odkaz:
http://arxiv.org/abs/2409.08120
In the context of a metric measure space $(X,d,\mu)$, we explore the potential-theoretic implications of having a finite-dimensional Besov space. We prove that if the dimension of the Besov space $B^\theta_{p,p}(X)$ is $k>1$, then $X$ can be decompos
Externí odkaz:
http://arxiv.org/abs/2409.01292
We establish the quenched local limit theorem for reversible random walk on $\Z^d$ (with $d\ge 2$) among stationary ergodic random conductances that permit jumps of arbitrary length. The proof is based on the weak parabolic Harnack inequalities and o
Externí odkaz:
http://arxiv.org/abs/2402.07212
Publikováno v:
ACS Nano 2023, 17, 11, 10172-10180
Here, using low-temperature optical scanning tunneling microscopy (STM), we investigate inelastic light scattering (ILS) in the vicinity of a single-atom quantum point contact (QPC). A vibration mode localized at the single Ag adatom on the Ag(111) s
Externí odkaz:
http://arxiv.org/abs/2312.06339
Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model
We present on-diagonal heat kernel estimates and quantitative homogenization statements for the one-dimensional Bouchaud trap model. The heat kernel estimates are obtained using standard techniques, with key inputs coming from a careful analysis of t
Externí odkaz:
http://arxiv.org/abs/2310.11115
It is well-known that stochastic processes on fractal spaces or in certain random media exhibit anomalous heat kernel behaviour. One manifestation of such irregular behaviour is the presence of fluctuations in the short- or long-time asymptotics of t
Externí odkaz:
http://arxiv.org/abs/2310.11107
In this paper we consider a time-continuous random walk in $\mathbb{Z}^d$ in a dynamical random environment with symmetric jump rates to nearest neighbours. We assume that these random conductances are stationary and ergodic and, moreover, that they
Externí odkaz:
http://arxiv.org/abs/2309.09675
Let $(K,d)$ be a connected compact metric space and $p\in (1, \infty)$. Under the assumption of \cite[Assumption 2.15]{Ki2} and the conductive $p$-homogeneity, we show that $\mathcal{W}^p(K)\subset C(K)$ holds if and only if $p>\operatorname{dim}_{AR
Externí odkaz:
http://arxiv.org/abs/2307.10449
We consider random conductance models with long range jumps on $\Z^d$, where the one-step transition probability from $x$ to $y$ is proportional to $w_{x,y}|x-y|^{-d-\alpha}$ with $\alpha\in (0,2)$. Assume that $\{w_{x,y}\}_{(x,y)\in E}$ are independ
Externí odkaz:
http://arxiv.org/abs/2306.15855