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1
Introduction
2
What is the first passage process
3
Why should we care
4
The diffusion equation
5
FirstPassage Probability
6
Exit Probability
7
electrostatics
8
stochastic hunting
9
unsolvable
10
example
11
Extreme Value Statistics
12
Convection Diffusion Equation
13
FirstPassage Processes
14
Altruism vs Individualism
15
Open Problems
Description:
Explore the fundamental concept of first-passage processes in this comprehensive lecture, delving into their significance across physics and other scientific disciplines. Gain insights into the diffusion equation, first-passage probability, and exit probability, while examining their applications in electrostatics and stochastic hunting. Investigate extreme value statistics and the convection-diffusion equation, and consider the philosophical implications of altruism versus individualism in relation to these processes. Conclude by examining open problems in the field, providing a thorough understanding of this crucial topic in physics and beyond.

First-Passage Processes in Physics and Beyond

Santa Fe Institute
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