Zobrazeno 1 - 10
of 2 081
pro vyhledávání: '"Zhen, Qing"'
Autor:
Cao, Shiping, Chen, Zhen-Qing
We introduce two fractals, in Euclidean spaces of dimension two and three respectively, such the $2$-conductive homogeneity holds but there is some $\eps \in (0, 1)$ so that the $p$-conductive homogeneity fails for every $p\in (1, 1+\eps)$. In additi
Externí odkaz:
http://arxiv.org/abs/2402.01953
Autor:
Cao, Shiping, Chen, Zhen-Qing
We positively answer the open question of Barlow and Bass about the convergence of renormalized effective resistance between opposite faces of Euclidean domains approximating a generalized {S}ierpi\'{n}ski carpet.
Externí odkaz:
http://arxiv.org/abs/2402.01949
Autor:
Chen, Zhen-Qing, Wang, Jie-Ming
In this paper, a necessary and sufficient condition is obtained for the scale invariant boundary Harnack inequality (BHP in abbreviation) for a large class of Hunt processes on metric measure spaces that are in weak duality with another Hunt process.
Externí odkaz:
http://arxiv.org/abs/2312.02455
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
Autor:
Zhang, Shuaiqi, Chen, Zhen-Qing
In this paper, we study optimal stochastic control problems for stochastic systems driven by non-Markov sub-diffusion $B_{L_t}$, which have the mixed features of deterministic and stochastic controls. Here $B_t$ is the standard Brownian motion on $R$
Externí odkaz:
http://arxiv.org/abs/2305.03676
Let $d \geq 2$, $\alpha \in (0,2)$, and $X$ be the cylindrical $\alpha$-stable process on $\mathbb{R}^d$. We first present a geometric characterization of an open subset $D\subset \mathbb{R}^d$ so that the part process $X^D$ of $X$ in $D$ is irreduci
Externí odkaz:
http://arxiv.org/abs/2304.14026