Antonio C Auffinger

  • 295 Citations
20092020

Research output per year

If you made any changes in Pure these will be visible here soon.

Research Output

  • 295 Citations
  • 23 Article
Article

A duality principle in spin glasses

Auffinger, A. & Chen, W. K., Jan 1 2017, In : Electronic Journal of Probability. 22, 61.

Research output: Contribution to journalArticle

A simplified proof of the relation between scaling exponents in first-passage percolation

Auffinger, A. & Damron, M., 2014, In : Annals of Probability. 42, 3, p. 1197-1211 15 p.

Research output: Contribution to journalArticle

6 Scopus citations

Complexity of random smooth functions on the high-dimensional sphere

Auffinger, A. & Arous, G. B., Nov 1 2013, In : Annals of Probability. 41, 6, p. 4214-4247 34 p.

Research output: Contribution to journalArticle

49 Scopus citations

Differentiability at the edge of the percolation cone and related results in first-passage percolation

Auffinger, A. & Damron, M., Jun 1 2013, In : Probability Theory and Related Fields. 156, 1-2, p. 193-227 35 p.

Research output: Contribution to journalArticle

15 Scopus citations

Directed polymers in a random environment with heavy tails

Auffinger, A. & Louidor, O., Feb 1 2011, In : Communications on Pure and Applied Mathematics. 64, 2, p. 183-204 22 p.

Research output: Contribution to journalArticle

10 Scopus citations

Existence of Two-Step Replica Symmetry Breaking for the Spherical Mixed p-Spin Glass at Zero Temperature

Auffinger, A. & Zeng, Q., Aug 1 2019, In : Communications in Mathematical Physics. 370, 1, p. 377-402 26 p.

Research output: Contribution to journalArticle

1 Scopus citations

Extreme eigenvalues of sparse, heavy tailed random matrices

Auffinger, A. & Tang, S., Nov 1 2016, In : Stochastic Processes and their Applications. 126, 11, p. 3310-3330 21 p.

Research output: Contribution to journalArticle

5 Scopus citations

Free Energy and Complexity of Spherical Bipartite Models

Auffinger, A. & Chen, W. K., Oct 1 2014, In : Journal of Statistical Physics. 157, 1, p. 40-59 20 p.

Research output: Contribution to journalArticle

11 Scopus citations

Limiting Geodesics For First-Passage Percolation On Subsets Of Z2

Auffinger, A., Damron, M. & Hanson, J., Feb 1 2015, In : Annals of Applied Probability. 25, 1, p. 373-405 33 p.

Research output: Contribution to journalArticle

4 Scopus citations

On concentration properties of disordered hamiltonians

Auffinger, A. & Chen, W. K., Jan 1 2018, In : Proceedings of the American Mathematical Society. 146, 4, p. 1807-1815 9 p.

Research output: Contribution to journalArticle

On properties of Parisi measures

Auffinger, A. & Chen, W. K., Apr 1 2015, In : Probability Theory and Related Fields. 161, 3-4, p. 817-850 34 p.

Research output: Contribution to journalArticle

19 Scopus citations

On Spin Distributions for Generic p-Spin Models

Auffinger, A. & Jagannath, A., Jan 30 2019, In : Journal of Statistical Physics. 174, 2, p. 316-332 17 p.

Research output: Contribution to journalArticle

1 Scopus citations

On the energy landscape of spherical spin glasses

Auffinger, A. & Chen, W. K., May 25 2018, In : Advances in Mathematics. 330, p. 553-588 36 p.

Research output: Contribution to journalArticle

4 Scopus citations

On the time constant of high dimensional first passage percolation

Auffinger, A. & Tang, S., Jan 1 2016, In : Electronic Journal of Probability. 21

Research output: Contribution to journalArticle

1 Scopus citations

Parisi formula for the ground state energy in the mixed p-spin model

Auffinger, A. & Chen, W. K., Jan 1 2017, In : Annals of Probability. 45, 6, p. 4617-4631 15 p.

Research output: Contribution to journalArticle

8 Scopus citations

Poisson convergence for the largest eigenvalues of heavy tailed random matrices

Auffinger, A., Arous, G. B. & Péchéb, S., Aug 1 2009, In : Annales de l'institut Henri Poincare (B) Probability and Statistics. 45, 3, p. 589-610 22 p.

Research output: Contribution to journalArticle

40 Scopus citations

Random matrices and complexity of spin glasses

Auffinger, A., Arous, G. B. & Černý, J., Feb 1 2013, In : Communications on Pure and Applied Mathematics. 66, 2, p. 165-201 37 p.

Research output: Contribution to journalArticle

77 Scopus citations

Rate of convergence of the mean for sub-additive ergodic sequences

Auffinger, A., Damron, M. & Hanson, J., Nov 5 2015, In : Advances in Mathematics. 285, p. 138-181 44 p.

Research output: Contribution to journalArticle

5 Scopus citations

The Legendre Structure of the Parisi Formula

Auffinger, A. C. & Chen, W. K., Dec 1 2016, In : Communications in Mathematical Physics. 348, 3, p. 751-770 20 p.

Research output: Contribution to journalArticle

4 Scopus citations

The Parisi Formula has a Unique Minimizer

Auffinger, A. & Chen, W. K., Jan 1 2015, In : Communications in Mathematical Physics. 335, 3, p. 1429-1444 16 p.

Research output: Contribution to journalArticle

31 Scopus citations

The SK Model Is Infinite Step Replica Symmetry Breaking at Zero Temperature

Auffinger, A., Chen, W. K. & Zeng, Q., May 1 2020, In : Communications on Pure and Applied Mathematics. 73, 5, p. 921-943 23 p.

Research output: Contribution to journalArticle

Thouless-Anderson-Palmer equations for generic p-spin glasses

Auffinger, A. & Jagannath, A., Jan 1 2019, In : Annals of Probability. 47, 4, p. 2230-2256 27 p.

Research output: Contribution to journalArticle

Universality of Chaos and Ultrametricity in Mixed p-Spin Models

Auffinger, A. C. & Chen, W. K., Nov 1 2016, In : Communications on Pure and Applied Mathematics. 69, 11, p. 2107-2130 24 p.

Research output: Contribution to journalArticle

4 Scopus citations