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Consider a simple graph in which a random walk begins at a given vertex. It moves at each step with equal probability to any neighbor of its current vertex, and ends when it has visited every vertex. We call such a random walk a random…

Combinatorics · Mathematics 2023-03-14 Calum Buchanan , Paul Horn , Puck Rombach

These are my memories of moments with Dick and Liz Askey in Russia, Wisconsin, Arizona, and abroad. Dedicated to the Askey family, these recollections span over 40 years and encompass many dramatic changes in the world. Due to this, it is…

History and Overview · Mathematics 2026-05-20 Sergei K. Suslov

While I was dealing with a brain injury and finding it difficult to work, two friends (Derek Westen, a friend of the KITP, and Steve Shenker, with whom I was recently collaborating), suggested that a new direction might be good. Steve in…

History and Philosophy of Physics · Physics 2017-09-04 Joseph Polchinski

In this paper, we consider a stochastic process that may experience random reset events which relocate the system to its starting position. We focus our attention on a one-dimensional, monotonic continuous-time random walk with a constant…

Mathematical Physics · Physics 2017-10-11 Miquel Montero , Axel Masó-Puigdellosas , Javier Villarroel

Urban spatial interactions are a complex aggregation of routine visits and random explorations by individuals. The inherent uncertainty of these random visitations poses significant challenges to understanding urban structures and…

Physics and Society · Physics 2025-03-25 Weiyu Zhang , Furong Jia , Jianying Wang , Yu Liu , Gezhi Xiu

The following conversation is partly based on an interview that took place in the Hong Kong University of Science and Technology in July 2013.

Other Statistics · Statistics 2014-10-17 Kung-Sik Chan , Qiwei Yao

Uncertainty inherently exists in the autonomous decision-making process of robots. Involving humans in resolving this uncertainty not only helps robots mitigate it but is also crucial for improving human-robot interactions. However, in…

This study investigates how pedestrian trust, receptivity, and behavior evolve during interactions with Level-4 autonomous vehicles (AVs) at uncontrolled urban intersections in a naturalistic setting. While public acceptance is critical for…

Human-Computer Interaction · Computer Science 2025-10-02 Xiang Chang , Zhijie Yi , Yichang Liu , Hongling Sheng , Dengbo He

I developed the lecture notes based on my ``Causal Inference'' course at the University of California Berkeley over the past seven years. Since half of the students were undergraduates, my lecture notes only required basic knowledge of…

Methodology · Statistics 2023-10-04 Peng Ding

We study discrete-time random walks on arbitrary networks with first-passage resetting processes. To the end, a set of nodes are chosen as observable nodes, and the walker is reset instantaneously to a given resetting node whenever it hits…

Statistical Mechanics · Physics 2021-06-30 Feng Huang , Hanshuang Chen

These are lecture notes that are based on the lectures from a class I taught on the topic of Randomized Linear Algebra (RLA) at UC Berkeley during the Fall 2013 semester.

Data Structures and Algorithms · Computer Science 2016-08-17 Michael W. Mahoney

These are Notes prepared for nine lectures given at the Mathematical Sciences Research Institute, MSRI, Berkeley during the period January--March 1995. It is a pleasant duty to record here my gratitude to MSRI, and its staff, for making…

Representation Theory · Mathematics 2016-09-06 Steve Gelbart

We introduce "Talk The Walk", the first large-scale dialogue dataset grounded in action and perception. The task involves two agents (a "guide" and a "tourist") that communicate via natural language in order to achieve a common goal: having…

Artificial Intelligence · Computer Science 2018-12-27 Harm de Vries , Kurt Shuster , Dhruv Batra , Devi Parikh , Jason Weston , Douwe Kiela

This article is a slightly expanded version of the talk I delivered at the Special Plenary Session of the 46-th Annual Meeting of the Israel Physical Society (Technion, Haifa, May 11, 2000) dedicated to Misha Marinov. In the first part I…

Quantum Physics · Physics 2016-11-23 M. Shifman

In contrast to other fields where conferences are typically for less polished or in-progress research, computing has long relied on referred conference papers as a venue for the final publication of completed research. While frequently a…

Digital Libraries · Computer Science 2021-09-15 Elijah Bouma-Sims

Recent progress on the understanding of the Random Conductance Model is reviewed and commented. A particular emphasis is on the results on the scaling limit of the random walk among random conductances for almost every realization of the…

Probability · Mathematics 2012-01-04 Marek Biskup

We have hiked many miles alongside several professors as we traversed our statistical path -- a regime switching trail which changed direction following a class on the foundations of our discipline. As we play the game of research in that…

Other Statistics · Statistics 2015-01-09 Daniele Durante , Davide Vidotto , Sabrina Vettori

Project based learning (PBL) for software development (we call it software development PBL) has garnered attention as a practical educational method. A number of studies have reported on the introduction of social coding tools such as…

Software Engineering · Computer Science 2020-02-07 Yutsuki Miyashita , Yuki Yamada , Hiroaki Hashiura , Atsuo Hazeyama

David Findley was born in Washington, DC on December 27, 1940. After attending high school in Lyndon, Kentucky, he earned a B.S. (1962) and M.A. (1963) in mathematics from the University of Cincinnati. He then lived in Germany, studying…

Methodology · Statistics 2013-01-08 Tucker S. McElroy , Scott H. Holan

Patrolling consists of scheduling perpetual movements of a collection of mobile robots, so that each point of the environment is regularly revisited by any robot in the collection. In previous research, it was assumed that all points of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-03 Huda Chuangpishit , Jurek Czyzowicz , Leszek Gasieniec , Konstantinos Georgiou , Tomasz Jurdzinski , Evangelos Kranakis