Kobe Workshop on Probabilistic Potential Theory and Related Fields

• Dates: 7 May 2019 (Tuesday) 09:00 - 8 May 2019 (Wednesday) 17:00
• Venue: Room B428-430, Faculty of Science Building B, Kobe University（神戸大学理学部B棟4階B428〜430号室）
  Transportation and maps (English)　交通案内と周辺地図（日本語）
  Room B428-430 is located in the right-hand side at the east end of the 4th floor of Building B.
  （B428〜430号室はB棟4階の最奥右の部屋です．）
• Organizer: Naotaka Kajino (Kobe University)
• No pre-registration is required for participating in this workshop.

Invited Speakers

• Yoshihiro Abe (Chiba University)
• Hiroaki Aikawa (Chubu University)
• Omer Angel (University of British Columbia)
• David Croydon (Kyoto University)
• Kouhei Matsuura (Kyoto University)
• Mathav Murugan (University of British Columbia)
• Kazuki Okamura (Shinshu University)
• Ryosuke Shimizu (Kyoto University)
• Daisuke Shiraishi (Kyoto University)
• Masayoshi Takeda (Kansai University)
• Ryokichi Tanaka (Tohoku University)
• Yuki Tokushige (Kyoto University)

Schedule

Program (pdf version) (pdf version with abstracts)

7 May 2019 (Tuesday)

• 09:00 - 13:00  Free Discussion
• 13:00 - 13:40  Masayoshi Takeda (Kansai University)
  Criticality theory and maximum principle for generalized Schrödinger forms
• 13:50 - 14:30  Daisuke Shiraishi (Kyoto University)
  Convergence of three-dimensional loop-erased random walk in the natural parametrization

• 14:50 - 15:40  Omer Angel (University of British Columbia)
  Scaling limits of self interacting random walks
• 15:50 - 16:30  Yoshihiro Abe (Chiba University)
  Exceptional points of two-dimensional random walks at multiples of the cover time
• 16:40 - 17:10  Ryosuke Shimizu (Kyoto University)
  Generalized resistance metrics on graphs

8 May 2019 (Wednesday)

• 09:00 - 10:00  Free Discusion
• 10:00 - 10:40  Ryokichi Tanaka (Tohoku University)
  Cutoff for product replacement on finite groups
• 10:50 - 11:30  Yuki Tokushige (Kyoto University)
  Jump processes on the Gromov boundary of a hyperbolic group:
  Probabilistic interpretation of Bourdon-Pajot's Besov spaces
• 11:40 - 12:30  Mathav Murugan (University of British Columbia)
  Stability of the elliptic Harnack inequality

• 13:30 - 14:10  Kazuki Okamura (Shinshu University)
  Some results for range of random walk on graph with spectral dimension two
• 14:20 - 15:00  David Croydon (Kyoto University)
  Quenched and averaged tails of the heat kernel of the two-dimensional uniform spanning tree

• 15:20 - 16:00  Kouhei Matsuura (Kyoto University)
  Tightness property of reflecting Brownian motions on horn-shaped domains
• 16:10 - 16:50  Hiroaki Aikawa (Chubu University)
  Potential theoretic notions related to integrability of superharmonic functions and supertemperatures

Financial Supports

• JSPS Grant-in-Aid for Scientific Research (B) Grant Number 17H02849
  「空間の構造と解析の関わりーフラクタルを出発点としてー」
  (Principal Investigator: Jun Kigami (Graduate School of Informatics, Kyoto University))
• JSPS Grant-in-Aid for Scientific Research (B) Grant Number 18H01123
  「分野横断的視点によるフラクタル及びその上の確率過程の解析・幾何」
  (Principal Investigator: Naotaka Kajino (Graduate School of Science, Kobe University))

Naotaka Kajino
Department of Mathematics, Graduate School of Science, Kobe University,
Rokkodai-cho 1-1, Nada-ku, 657-8501 Kobe, Japan
Office: Faculty of Science Building B, Room B426
Tel: +81-78-803-5616
Fax: +81-78-803-5610
E-mail: nkajino ``at" math.kobe-u.ac.jp