Harmonic functions and random walks on infinite planar graphs

Speaker: Wai Yeung Lam

Time: 15:20 - 16:55, every Monday,Wednesday, 3/14/2022 - 6/8/2022

Venue: 1118

Zoom ID: 638 227 8222，Password：BIMSA

Description:

From the view point of potential theory, infinite graphs form a discrete model of noncompact Riemannian manifolds. For a discrete Laplacian on a network, the corresponding discrete Poisson equation is related to Kirchhoff's electric circuit laws. On the other hand, there is an interplay between infinite networks and the theory of Markov chains. In this course, we introduce basic results on infinite networks, such as extremal length. We will discuss its connections to circle packings.

Prerequisite:

Linear algebra

References:

Soardi, Paolo M. Potential theory on infinite networks. Lecture Notes in Mathematics, 1590. Springer-Verlag, Berlin, 1994.

Profile:

林伟扬在柏林工业大学取得博士学位，从事离散微分几何研究，及后于布朗大学及卢森堡大学担任博士后，在2020年加入BIMSA成为助理研究员。

Note link: 

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