Stochastic processes in random environments with inhomogeneous scaling limits

• Project/Area Number: 24K06758
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 12010:Basic analysis-related
• Research Institution: Kyoto University
• Principal Investigator: Croydon David 京都大学, 数理解析研究所, 准教授 (50824182)
• Project Period (FY): 2024-04-01 – 2028-03-31
• Project Status: Granted (Fiscal Year 2024)
• Budget Amount: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000); Fiscal Year 2027: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000); Fiscal Year 2026: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000); Fiscal Year 2025: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000); Fiscal Year 2024: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
• Keywords: random walks / random graphs / fractals / scaling limits / random fields

Outline of Research at the Start

The PI has previously developed techniques for understanding random walks on random graphs with fractal scaling limits. As well as developing these, he will consider how they can be used to study other stochastic processes on random graphs, such as random fields or resource allocation processes?