I formerly organized the student probability seminar. To join the mailing list "probabilitystudentrun" for the seminar, follow this link, submit your email address, and then confirm your subscription as instructed in the automated email. Winter 2018 schedule: Fridays @ 12:30, 384I
Autumn 2017: We studied nonstandard random walk models. Papers used include:  Angel, Benjamini, Virág 2003: "Random walks that avoid their past convex hull"
 Zerner 2005: "On the speed of a planar random walk avoiding its past convex hull"
 Benjamini, Wilson 2003: "Excited random walk"
 Lawler 2013: "Intersections of random walks"
 Diaconis 1988: "Recent progress on de Finetti's notions of exchangeability"
 Pemantle 1988: "Phase transition in reinforced random walk and RWRE on trees"
 Pemantle 2007: "A survey of random processes with reinforcement"
 Sabot, Zeng 2016: "A random Schrödinger operator associated with the Vertex Reinforced Jump Process on infinite graphs"
 Hairer, Labbé 2015: "A simple construction of the parabolic Anderson model on R^2"
 König 2016: "The parabolic Anderson model: Random walk in random potential"
 Sinai 1982: "The limiting behavior of a onedimensional random walk in a random
medium"
 Avena, den Hollander 2016: "Random walks in cooling random environments"
 Eischelbacher, König 2008: "Ordered random walks"
 Dyson 1962: "A BrownianMotion Model for the Eigenvalues of a Random Matrix"
 Alon, Benjamini, Lubetzky, Sodin 2007: "Nonbacktracking random walks mix faster"
 Ben Arous, Cerny 2006: "Dynamics of trap models"
October 6  Erik Bates  Random walks avoiding their past convex hull   
 October 13  Andy Tsao  Excited random walks     October 20  Mark Perlman  Selfavoiding and looperased random walks 
October 27  Andrea Ottolini  Reinforced edge random walk 
November 3
November 10
November 17
November 24
December 1
December 8
 Alex Dunlap
Damian Pavlyshyn
Kevin Yang
Joey Zou
Leila Sloman  The parabolic Anderson model
Random walks in cooling random environments
Nonintersecting random walks
< week off >
Nonbacktracking random walks
The Bouchaud trap model  Spring 2017: We studied supercritical branching processes and their limiting measures, as well as continuous analogs. Papers used include: Liu 2000: "On generalized multiplicative cascades"
 Franchi 1995: "Chaos multiplicatif: un traitement simple et complet de la fonction de partition"
 Hu, Shi 2009: "Minimal position and critical martingale convergence in branching random walks, and directed polymers on disordered trees"
 Barral, Rhodes, Vargas 2012: "Limiting laws of supercritical branching random walks"
 Berestycki notes: "Topics on branching Brownian motion"
 Lalley, Sellke 1987: "A conditional limit theorem for frontier of a
branching Brownian motion"
 Hamel, Nolen, Roquejoffre, Ryzhik 2013: "A short proof of the logarithmic Bramson correction in
FisherKPP equations"
 Nolen, Roquejoffre, Ryzhik 2016: "Refined long time asymptotics for FisherKPP fronts"
 Perkins notes: "SuperBrownian motion and critical stochastic spatial systems"
 Slade 2002: "Scaling limits and superBrownian motion"
 Lalley, Perkins, Zheng 2014: "A phase transition for measurevalued SIR epidemic processes"
 Bhattacharya, Perlman 2017: "Timeinhomogeneous branching processes conditioned on nonextinction"
 Diaconis 1977: "Finite forms of de Finetti's theorem on exchangeability"
 Diaconis, Freedman 1980: "Finite exchangeable sequences"
 Diaconis, Freedman 1987: "A dozen of de Finettistyle results in search of a theory"
April 14
 Erik Bates  Introduction to supercritical branching processes   
 April 21
 Erik Bates  The phase transition for branching random walk  April 28  Alex Zhai  Measures on end spaces after renormalization 
May 5  Joey Zou  Some aspects of branching Brownian motion 
May 12
May 19
May 26
June 2
 Cole Graham
Alex Dunlap
Mark Perlman
Andrea Ottolini
 FisherKPP at large times: exploring the logarithmic Bramson shift
It's a bird! It's a plane! It's superBrownian motion!
Timedependent branching processes
Introduction to de Finetti's theorem(s) 
Winter 2017: We studied Interacting Particle Systems from Liggett's book.
January 20  Alex Dunlap  Introduction to interacting particle systems   
 January 27  Alex Dunlap  Construction and basic ergodicity properties of some interacting particle systems     February 3  Jimmy He  Coupling methods in interacting particle systems 
February 10  Andy Tsao  Monotonicity and positive correlation methods in interacting particle systems 
February 17
February 24
March 3
March 10
March 17
 Erik Bates
Alex Dunlap
Qian Zhao
Beniada Shabani  Examples and applications of dual processes
Wave speed of the contact process and an application to the stochastic FisherKPP equation
Introduction to the stochastic Ising model
< week off >
Limiting behavior of BrunetDerrida particle systems

Autumn 2016: We studied Stein's method, referring to the survey by Ross and notes by Chatterjee.
October 10  Erik Bates  Introduction to Stein's method; sums of random variables with sparse dependency graphs   
 October 17  Paulo Orenstein  Introduction to exchangeable pairs     October 24  Jimmy He  Sizebias coupling

November 1  Alex Dunlap  Exponential approximation and an application to critical branching processes 
November 7
November 14
November 28
December 5
 Mark Perlman
Erik Bates
Leila Sloman  Zerobias coupling and the Lindeberg condition
Geometric approximation with an application to uniform attachment graph model
< week off >
Concentration inequalities via Stein's method 
Spring 2016: We followed van Handel's Probability in High Dimension.
April 8  Erik Bates  Chapter 1 and Section 2.1     April 15  Erik Bates  Sections 2.2  2.4     April 22  Subhabrata Sen  Sections 3.1  3.3 
April 29 Zhou Fan Section 3.4
May 6
May 13
 Paulo Orenstein
Alex Zhai
 Sections 4.1 and 4.2
Concentration results via Brownian motion 
January 21  Erik Bates  Rate functions, Sanov's Theorem
    January 28  Zhou Fan  Cramér's Theorem     February 4  Alex Dunlap  Gärtner–Ellis Theorem 
February 11
February 18
February 25
March 3
 Subhabrata Sen
Erik Bates
Naomi Feldheim
Alex Zhai
 LDPs for Markov chains and random walks
Gibbs conditioning principle
LDPs on general topological spaces
Introduction to nonlinear large deviations 
   
 

