Antonio Auffinger (Tuca)

Associate Professor

Department of Mathematics

Northwestern University

2033 Sheridan Road

Evanston, IL 60208-2730, USA

Office: Lunt B24

Email: auffing [at] math.northwestern.edu

 






Publications and Preprints:


Pemantle's min-plus binary tree. Antonio Auffinger, Dylan Cable. Preprint.
The SK model is Full-Step Replica Symmetry Breaking at zero temperature. Antonio Auffinger, Wei-Kuo Chen, Qiang Zeng. Preprint.
On the energy landscape of the spherical p-spin model. Antonio Auffinger, Wei-Kuo Chen. Preprint.
Thouless-Palmer-Anderson equations for conditional Gibbs measures in the generic p-spin glass model. Antonio Auffinger, Aukosh Jagannath. Preprint.
On concentration properties of disordered Hamiltonians. Antonio Auffinger, Wei-Kuo Chen. To appear at the Proceedings of the AMS.
Parisi formula for the ground state energy in the mixed p-spin model. Antonio Auffinger, Wei-Kuo Chen. Annals of Probability 2017, Vol. 45, No. 6B, 4617-4631.
A duality principle in spin glasses. Antonio Auffinger, Wei-Kuo Chen. Electron. J. Probab., Volume 22 (2017), paper no. 61, 17 pp.
50 years of First Passage Percolation. Antonio Auffinger, Michael Damron and Jack T. Hanson. University Lecture Series, Vol. 68; 2017; 161pp.
The Legendre structure of the Parisi formula. Antonio Auffinger and Wei-Kuo Chen. Comm. Math. Phys. Vol. 348, Issue 3, pp 751–770, (2016).
Extreme eigenvalues of sparse, heavy tailed random matrices. Antonio Auffinger and Si Tang. Stochastic Processes and Applications, Vol. 126, Issue 11, November 2016, Pages 3310--3330.
Universality of chaos and ultrametricity in mixed p-spin models. Antonio Auffinger and Wei-Kuo Chen. Comm. on Pure and Applied Math. Vol. LXIX, 2107–2130 (2016)
On the time constant of high dimensional first-passage percolation. Antonio Auffinger and Si Tang. Electron. J. Probab. Volume 21 (2016), paper no. 24, 23 pp
Rate of convergence of the mean for sub-additive ergodic sequences. Antonio Auffinger, Michael Damron and Jack T. Hanson. Advances in Mathematics, Volume 285, 5 November 2015, Pages 138-181
The Parisi formula has a unique minimizer. Antonio Auffinger and Wei-Kuo Chen. Comm. Math. Phys. 2015, Vol. 335, Issue 3, pp 1429-1444
On properties of Parisi measures. Antonio Auffinger and Wei-Kuo Chen. Probab. Theory and Rel. Fields. 2015, Vol. 161, Issue 3, pp 817-850.
Free energy and complexity of spherical bipartite models. Antonio Auffinger and Wei-Kuo Chen. J. Stat. Phys. 2014, Volume 157, Issue 1, pp 40-59
Limiting geodesic for first-passage percolation on subsets of Z^2. Antonio Auffinger, Michael Damron, Jack T. Hanson. Ann. Appl. Probab. 2015, Vol. 25, No. 1, 373-405.
The scaling relation chi = 2 xi -1 for directed polymers in a random environment. Antonio Auffinger and Michael Damron. ALEA, Lat. Am. J. Probab. Math. Stat. 10 (2), 857-880 (2013)
A simplified proof of the relation between scaling exponents in first-passage percolation. Antonio Auffinger and Michael Damron. Annals of Probability 2014, Vol. 42, No. 3, 1197-1211 .
Complexity of random functions of many variables. Antonio Auffinger and Gerard Ben Arous. Annals of Probability 2013, Vol. 41, No. 6, 4214-4247
Differentiability at the edge of the percolation cone and related results in first-passage percolation. Antonio Auffinger and Michael Damron. Probab. Theory Related Fields, 2013 Volume 156, Issue 1-2, pp 193-227
Random Matrices and Complexity of Spherical Spin Glasses. Antonio Auffinger, Gerard Ben Arous and Jiri Cerny. Comm. on Pure and Applied Math. Volume 66, Issue 2 (2013)
Directed polymers in random environment with heavy tails. Antonio Auffinger and Oren Louidor. Comm. on Pure and Applied Math. Volume 64 no. 2, 183-204 (2011)
Poisson convergence for the largest eigenvalues of Heavy Tailed Random Matrices. Antonio Auffinger, Gerard Ben Arous, Sandrine Peche. Annales de l'Institut Henri Poincare Volume 45 no. 3 pg. 589-610 (2009)
Random Matrices, Complexity of Spin Glasses and Heavy Tailed Processes. Antonio Auffinger. Ph.D. thesis
Universality for directed polymers in thin rectangles. Antonio Auffinger, Jinho Baik and Ivan Corwin.

 

Some recent conferences as organizer:


2nd Northwestern Summer school in Probability - July 16th-25th, 2018 , at Northwestern, co-organized with Elton Hsu.
SPA 2019 - Summer, 2019, at Northwestern, co-organized with Jian Ding, Elton Hsu and Greg Lawler.
Spin glasses and related topics - September 30th-October 5th, 2018, at BIRS, Banff co-organized with Wei-Kuo Chen, Dmitry Panchenko and Lenka Zdeborova.
SNAP 2017 - July 24th-August 11th, 2017, at Northwestern, co-organized with Laura DeMarco, Ezra Getzler, Aaron Naber, Aaron Peterson, Valentino Tosatti, Ben Weinkove, Jared Wunsch.
Dynamics, aging and universality in complex systems - June 2017, Courant Institute, New York, NY, co-organized with Paul Bourgade, Ivan Corwin and Alice Guionnet.
Session on spin glasses and disordered media at the 2017 Joint Mathematics Meeting - January 2017, Atlanta, co-organized with Aukosh Jagannath and Dmitry Panchenko.
Northwestern Summer school in Probability - July 11th-22nd, 2016 , at Northwestern, co-organized with Elton Hsu.
Emphasis Year in Probability - 2015/2016, at Northwestern, co-organized with Elton Hsu and Steve Zelditch.
Workshop on percolation, spin glasses and random media - May 26th-29th, 2016, at Northwestern, co-organized with Elton Hsu.
Workshop in first passage percolation and related models - August, 2015, at AIM, co-organized with Michael Damron and Jack Hanson.

 

Ph. D. Students:
Cathy Chen
Si Tang