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of 81
pro vyhledávání: '"30C"'
Autor:
Martin, Gaven, Yao, Cong
We consider minimisers of the $p$-exponential conformal energy for homeomorphisms $f:R \to S$ of finite distortion $\IK(z,f)$ between analytically finite Riemann surfaces in a fixed homotopy class $[f_0]$,\[ \mE_p(f:R,S)=\int_R \exp(p\IK(z,f))\; d\si
Externí odkaz:
http://arxiv.org/abs/2410.22667
Autor:
Martin, Gaven, Yao, Cong
We consider Sobolev mappings $f\in W^{1,q}(\Omega,\IC)$, $1
Externí odkaz:
http://arxiv.org/abs/2105.01222
Autor:
Herron, David A., Martin, Gaven J.
We present an analytical proof that certain natural metric planar universal covers are Hadamard metric spaces. In particular if $\rho=\varphi\circ u$ where $u$ is locally Lipschitz and subharmonic in $\Omega$, $\varphi$ is positive and increasing on
Externí odkaz:
http://arxiv.org/abs/2011.14456
Autor:
Zhan, Dapeng
We prove that for $\kappa\in(0,8)$, if $(\eta_1,\eta_2)$ is a $2$-SLE$_\kappa$ pair in a simply connected domain $D$ with an analytic boundary point $z_0$, then $\lim_{r\to 0^+}r^{-\alpha} \mathbb{P}[\mbox{dist}(z_0,\eta_j)
Externí odkaz:
http://arxiv.org/abs/1901.00254
Autor:
Zhan, Dapeng
A $2$-SLE$_\kappa$ ($\kappa\in(0,8)$) is a pair of random curves $(\eta_1,\eta_2)$ in a simply connected domain $D$ connecting two pairs of boundary points such that conditioning on any curve, the other is a chordal SLE$_\kappa$ curve in a complement
Externí odkaz:
http://arxiv.org/abs/1806.09663
Autor:
Saitoh, Saburou
From the viewpoints of the division by zero $1/0=0/0=z/0=0$ and the division by zero calculus, we will examine the mysterious properties of the point at infinity in the sense of the Alexandroff one compactification of the complex plane which is reali
Externí odkaz:
http://arxiv.org/abs/1712.09467
Autor:
Mackey, Benjamin, Zhan, Dapeng
We prove upper bounds for the probability that a radial SLE$_{\kappa}$ curve, $\kappa\in(0,8)$, comes within specified radii of $n$ different points in the unit disc. Using this estimate, we then prove a similar upper bound for a whole-plane SLE$_{\k
Externí odkaz:
http://arxiv.org/abs/1710.04261
Autor:
Zhan, Dapeng
We make use of the fact that a two-sided whole-plane Schramm-Loewner evolution (SLE$_\kappa$) curve $\gamma$ for $\kappa\in(0,8)$ from $\infty$ to $\infty$ through $0$ may be parametrized by its $d$-dimensional Minkowski content, where $d=1+\frac\kap
Externí odkaz:
http://arxiv.org/abs/1706.05603
Autor:
Zhan, Dapeng
We use Minkowski content (i.e., natural parametrization) of SLE to construct several types of SLE$_\kappa$ loop measures for $\kappa\in(0,8)$. First, we construct rooted SLE$_\kappa$ loop measures in the Riemann sphere $\widehat{\mathbb C}$, which sa
Externí odkaz:
http://arxiv.org/abs/1702.08026
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