Louis-Pierre Arguin

Education

Ph.D., Mathematics, Princeton University Princeton NJ

MSc, Physics, University of Montreal Montreal Canada

BSc, Mathematics, University of Montreal Montreal Canada

Books

Arguin, L. (2022). A First Course in Stochastic Calculus. USA, American Mathematical Society.

Arguin, L., Gayrard, V., Kistler, N., & Kurkova, I. (2019). Statistical mechanics of classical and disordered systems. (p. 279). Springer.

Arguin, L. Extreme Value Theory of the Riemann Zeta Function: A probabilistic approach in short intervals. Springer. In Progress.

Journal Articles

(2024). Evidence of Random Matrix Corrections for the Large Deviations of Selberg’s Central Limit Theorem. Experimental Mathematics, 33. 123-135.

(2024). Maxima of a Random Model of the Riemann Zeta Function over Intervals of Varying Length. Annales de l’Institut Henri Poincaré, 60(1). 588-611.

(2024). Maxima of a random model of the Riemann zeta function over intervals of varying length. Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 60(1). 588 -- 611.

(2024). The Fyodorov-Hiary-Keating Conjecture II. In Progress.

(2024). Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem. Mathematika,

(2023). Large Deviation Estimates of Selberg's Central Limit Theorem and Applications. International Mathematics Research Notices, 23. 20574–20612.

Arguin, L., Hartung, L., & Kistler, N. (2022). High Points of a Random Model of the Riemann Zeta Function and Gaussian Multiplicative Chaos. Stochastic Processes and Applications,

Arguin, L., Bourgade, P., & Radziwill, M. (2022). The Fyodorov-Hiary-Keating Conjecture I. Annals of Mathematics,

Arguin, L., Ouimet, F., & Radziwill, M. (2021). Moments of the Riemann Zeta Function in Short Intervals. Annals of Probability, 49(6). 3106-3141.

Arguin, L., & Hanson, J. (2020). On Absence of disorder chaos for spin glasses on Z(d). Electronic Communications in Probability, 25.

Arguin, L., & Ouimet, F. (2019). Large deviations and continuity estimates for the derivative of a random model oflog¿|¿|on the critical line. Journal of Mathematical Analysis and Applications, 472(1). 687-695.

Arguin, L., Newman, C. M., & Stein, D. L. (2019). A Relation Between Disorder Chaos and Incongruent States in Spin Glasses on Z^d. Communications in Mathematical Physics, 367(3). 1019--1043.

Arguin, L., Belius, D., Bourgade, P., Radziwill, M., & Soundararajan, K. (2019). Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line. Communications on Pure and Applied Mathematics, 72(3). 500-535.

Arguin, L. (2018). Most-likely-path in Asian option pricing under local volatility models. Int. J. Theor. Appl. Finance, 21.

Arguin, L., Belius, D., Bourgade, P., Radziwill, M., & Soundararajan, K. (2018). Maximum of the Riemann Zeta Function on a Short Interval of the Critical Line. Communications on Pure and Applied Mathematics,

Arguin, L., Belius, D., & Bourgade, P. (2017). Maximum of the characteristic polynomial of random unitary matrices. Communications in Mathematical Physics, 349(2). 703–751.

Arguin, L., Belius, D., & Harper, A. J. (2017). Maxima of a randomized Riemann zeta function, and branching random walks. The Annals of Applied Probability, 27(1). 178–215.

Arguin, L., & Ouimet, F. (2016). Extremes of the two-dimensional Gaussian free field with scale-dependent variance. ALEA Lat. Am. J. Probab. Math. Stat., 13.

Arguin, L., Newman, C., Stein, D., & Wehr, J. (2016). Zero-Temperature Fluctuations in Short-Range Spin Glasses. Journal of Statistical Physics, Springer, 163. 9.

Arguin, L., & Zindy, O. (2015). Poisson-Dirichlet Statistics for the extremes of the two-dimensional Gaussian free eld. Electronic Journal of Probability, 20(59). 1-19.

Arguin, L., Newman, C. M., & Stein, D. L. (2015). Thermodynamic Identities and Symmetry Breaking in Short-Range Spin Glasses. Phys. Rev. Lett., 115(18). 187202.

Arguin, L., Bovier, A., & Kistler, N. (2015). An ergodic theorem for the extremal process of branchingBrownian motion. Ann. Inst. Henri Poincaré Probab. Stat., 51(2). 557–569.

Arguin, L., & Damron, M. (2014). On the number of ground states of the Edwards-Anderson spin glass model. Ann. Inst. Henri Poincaré Probab. Stat., 50(1). 28–62.

Arguin, L., & Kistler, N. (2014). Microcanonical analysis of the random energy model in a random magnetic field. Springer, 157(1). 1-16.

Arguin, L., Newman, C., Stein, D., & Wehr, J. (2014). Fluctuation bounds for interface free energies in spin glasses. Journal of Statistical Physics, Springer, 156(2). 221-238.

Arguin, L., & Zindy, O. (2014). Poisson-Dirichlet statistics for the extremes of a log-correlated Gaussian field. Annals of Applied Probability, Institute of Mathematical Statistics, 24(4). 1446-1481.

Arguin, L., Bovier, A., & Kistler, N. (2013). The extremal process of branching Brownian motion. Probab. Theory Related Fields, 157(3-4). 535–574.

Arguin, L., & Chatterjee, S. (2013). Random overlap structures: properties and applications to spin glasses. Probab. Theory Related Fields, 156(1-2). 375–413.

Arguin, L., Bovier, A., & Kistler, N. (2013). An ergodic theorem for the frontier of branching Brownian motion. Electron. J. Probab., 18. no. 53, 25.

Arguin, L., Bovier, A., & Kistler, N. (2012). Poissonian statistics in the extremal process of branching Brownian motion. Ann. Appl. Probab., 22(4). 1693–1711.

Arguin, L., Bovier, A., & Kistler, N. (2011). Genealogy of extremal particles of branching Brownian motion. Comm. Pure Appl. Math., 64(12). 1647–1676.

Arguin, L., & Damron, M. (2011). Short-range spin glasses and random overlap structures. J. Stat. Phys., 143(2). 226–250.

Arguin, L., Damron, M., Newman, C. M., & Stein, D. L. (2010). Uniqueness of ground states for short-range spin glasses in the half-plane. Comm. Math. Phys., 300(3). 641–657.

Arguin, L., & Saint-Aubin, Y. (2009). Restricted partition functions of the two-dimensional Ising model on a half-infinite cylinder. J. Math. Phys., 50(9). 095203, 8.

Arguin, L., & Aizenman, M. (2009). On the structure of quasi-stationary competing particle systems. Ann. Probab., 37(3). 1080–1113.

Arguin, L., & Kistler, N. (2009). Small perturbations of a spin glass system. J. Stat. Phys., 135(5-6). 1167–1180.

Arguin, L. (2008). Competing particle systems and the Ghirlanda-Guerra identities. Electron. J. Probab., 13. no. 69, 2101–2117.

Arguin, L. (2008). A remark on the infinite-volume Gibbs measures of spin glasses. J. Math. Phys., 49(12). 125204, 8.

Arguin, L. (2007). A dynamical characterization of Poisson-Dirichlet distributions. Electron. Comm. Probab., 12. 283–290 (electronic).

Arguin, L. (2007). Spin glass computations and Ruelle’s probability cascades. J. Stat. Phys., 126(4-5). 951–976.

Arguin, L. (2002). Homology of Fortuin-Kasteleyn clusters of Potts models on the torus. J. Statist. Phys., 109(1-2). 301–310.

Arguin, L., & Saint-Aubin, Y. (2002). Non-unitary observables in the 2d critical Ising model. Phys. Lett. B, 541(3-4). 384–389.

Book Chapters

Arguin, L. (2021). Ground state stability in two spin glass models. In Newman, C., & Stein, D. (Eds.), In and out of equilibrium 3. Celebrating Vladas Sidoravicius (p. 17–25). Birkhäuser/Springer.

Arguin, L., & Tai, W. (2019). Is the Riemann Zeta Function in a Short Interval a 1-RSB Spin Glass?. Sojourns in Probability Theory and Statistical Physics - I (pp. 63-88). Springer Singapore.

Arguin, L., & Persechino, R. (2019). The Free Energy of the GREM with Random Magnetic Field. Statistical Mechanics of Classical and Disordered Systems (pp. 37-61). Springer International Publishing.

Arguin, L. (2016). Extrema of Log-correlated Random Variables: Principles and Examples. In Contucci, P., & Giardinà, C. (Eds.), Advances in disordered systems, random processes and some applications (pp. 166-204). Cambridge University Press.

Presentations

Arguin, L. (2024, January 8). Large Values of the Riemann Zeta Function: A Probabilistic Journey. London Analysis and Probability Seminar. : Imperial College London.

Arguin, L. (2024, August 8). Moments of the Riemann Zeta Function in Short Intervals. World Congress in Probability. Bochum, Germany: Institute of Mathematical Statistics.

Arguin, L. (2024, June 8). Moments of the Riemann Zeta Function. Probability Seminar. Warwick: University of Warwick.

Arguin, L. (2024, February 8). A statistical mechanics perspective on the large values of the Riemann zeta function. Bristol Mathematical Physics Seminar. : University of Bristol.

Arguin, L. (2024, October 8). Bounding the Large Deviations of Selberg's CLT. Oxford Random Matrix Seminar. Oxford: University of Oxford.

Arguin, L. (2024, July 8). The Fyodorov-Hiary-Keating Conjecture. Random matrices: from quantum chaos to the Riemann zeta function. University of Bristol: Heilbronn Institute for Mathematical Research.

Arguin, L. (2024, April 8). Extreme values of the zeta function: a probabilistic journey. Columbia-Princeton Probability day. Columbia University: Columbia University, Princeton University.

Arguin, L. (2024, March 8). Large Deviations of Selberg's Central Limit Theorem. CUNY-Columbia Probability Seminar. CUNY Graduate Center

Arguin, L. (2024, June 8). The Fyodorov-Hiary-Keating Conjecture. 50 years of Random Matrix Theory and Number Theory. Institute for Advanced Study, Princeton: Institute for Advanced Study.

Arguin, L. (2024, November 8). Large Values of the Riemann Zeta Function on the Critical Line. Philadelphia Area Number Theory Seminar. Bryn Mawr College: Bryn Mawr College.

Arguin, L. (2024, March 8).  A Statistical Mechanics Perspective on the Large Values of the Riemann Zeta Function. Statistical Mechanics Seminar. Dept. of Physics, Princeton: Princeton University.

Arguin, L. (2024, October 8). Large Values of the Riemann Zeta Function on the Critical Line. Quebec Maine Number Theory Conference. Université Laval, Québec

Arguin, L. (2024, October 8). A Journey from Statistical Mechanics to Number Theory. Integrable systems, exactly solvable models and algebras. Université de Montréal: Centre de Recherches Mathématiques.

Arguin, L. (2024, March 8).  Large Values of the Riemann Zeta Function in Short Intervals. Vienna Probability Seminar. University of Vienna: University of Vienna.

Arguin, L. (2024, December 8). Large Values of the Riemann Zeta Function in Short Intervals. Temple/UPenn Probability Seminar. Temple University: Temple University.

Arguin, L. (2024, February 8). Large Values of the Riemann Zeta Function \\ in Short Intervals. Georgia Tech Probability Seminar. Georgia Tech: Georgia Tech.

Arguin, L. Les grandes valeurs de la fonction zeta de Riemann sur l'axe critique. Colloque Lorrain. Institut Elie Cartan: Institut Elie Cartan.

Arguin, L. (2020, October 14). Large Values of the Riemann Zeta Function. Waterloo Probability Seminar Series. Waterloo, Canada: University of Waterloo.

Arguin, L. (2020, May 28). Large Values of the Riemann Zeta Function. One World Probability Seminar. Online

Arguin, L. (2019, February 6). Moments of the Riemann Zeta Function on Short Intervals. CUNY Probability Seminar. CUNY Graduate Center: CUNY.

Arguin, L. (2019, February 15). Moments of the Riemann Zeta Function on Short Intervals. Columbia University Probability Seminar. Columbia University: Columbia University.

Arguin, L. (2019, April 8). Moments of the Riemann Zeta Function on Short Intervals. Cornell University Probability Seminar. Cornell University: Cornell University.

Arguin, L. (2019, June 17). Large Values of the Riemann Zeta Function in Short Intervals. Extreme Values in Number Theory and Probability. Paris, France: Institut Henri-Poincaré.

Arguin, L. (2019, October 11). Large values of the Riemann Zeta Function. Midwest Probability Colloquium. Chicago: Northwestern University.

Arguin, L. (2019, November 5). Large Values of the Riemann Zeta Function in Short Intervals. Rutgers Number Theory Seminar. New Brunswick, NJ: Rutgers University.

Arguin, L. (2019, October 31). Large Values of the Riemann Zeta Function in Short Intervals. City College Mathematics Colloquium. City College, New York: CCNY.

Arguin, L. (2019, October 18). Large Values of the Riemann Zeta Function in Short Intervals. Texas A&M Probability Seminar. College Station, TX: Texas A&M.

Arguin, L. (2019, October 3). Large Values of the Riemann Zeta Function in Short Intervals. New York Number Theory Seminar. Graduate Center, CUNY: City University of New York.

Arguin, L. (2018, January 26). Thoughts and Advice on NSF CAREER grant process. NSF CAREER award workshop. Research Foundation CUNY: Research Foundation CUNY.

Arguin, L. (2018, February 2). Maxima of the Riemann Zeta function on a short interval of the critical line. Probability and Mathematical Physics Seminar. Courant Institute: New York University.

Arguin, L. (2018, February 19). Maxima of the Riemann Zeta function on a short interval of the critical line. Montreal Probability Seminar. Montreal, Canada: Centre de Recherches Mathématiques.

Arguin, L. (2018, April 17). Maxima of the Riemann Zeta function on a short interval of the critical line. Math Probability Seminar Series. Shanghai, China: NYU Shanghai.

Arguin, L. (2018, March 29). Maxima of the Riemann Zeta Function on a short interval of the critical line. Rochester Probability Seminar. Rochester, NY: University of Rochester.

Arguin, L. (2018, March 2). Maxima of the Riemann Zeta Function on a short interval of the critical line. German Probability and Statistics Days. Freiburg, Germany: DMV-Fachgruppe Stochastik.

Arguin, L. (2018, October 2). A Relation between Disorder Chaos and Incongruent States in Spin Glasses. Spin Glasses and Related Models. Banff, Canada: Banff International Research Station.

Arguin, L. (2018, September 17). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Graduate Student Colloquium. Graduate Center: CUNY.

Arguin, L. (2018, June 19). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Recent Trends in Discrete and Continuous Probability. Atlanta: Georgia Tech.

Arguin, L. (2018, June 13). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Log-Correlated Fields. Bonn, Germany: Hausdorff Center for Mathematics.

Arguin, L. (2018, May 25). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. Probability in Number Theory. Universite de Montreal: Centre de Recherches Mathematiques.

Arguin, L. (2018, May 6). Maxima of the Riemann Zeta Function on a Short Interval of the Critical Line. 113th Conference in Statistical Mechanics. NJ: Rutgers University.

Arguin, L. (2018, April 19). Maxima of the Riemann Zeta function on a short interval of the critical line. Number theory and its connections to random matrices and extreme values. Hong Kong, China: University of Hong Kong.

Arguin, L., & Tai, W. (2017, July 15). Is the Riemann Zeta Function a 1-RSB Spin Glass?. Stochastic Process and Applications. Moscow Russia: Bernoulli Society.

Arguin, L. (2016, May 9). Maxima of the characteristic polynomial of CUE and of the zeta function via branching random walks. Extrema of logarithmically correlated processes, characteristic polynomials, and the Riemann zeta function. : University of Bristol.

Arguin, L. (2016, March 25). The maximum of the characteristic polynomial of random unitary matrices. Stochastics Seminar. Department of Mathematics: University of Utah.

Arguin, L. (2015, November 18). The maximum of the characteristic polynomial of random unitary matrices. Probability and Mathematical Physics Seminar. Harvard University: Harvard University.

Arguin, L. (2015, November 5). The maximum of the characteristic polynomial of random unitary matrices. UNC Probability Seminar. Chapel Hill: University of North Carolina.

Arguin, L. (2015, August 4). Fluctuation bounds for interface free energies in spin glasses. First Passage Percolation and Related Models. San Jose: American Institute of Mathematics.

Arguin, L. (2015, March 19). Maxima of log-correlated Gaussian elds and the Riemann Zeta function on the critical line. Random trees, random graphs and applications. University of Cambridge: Isaac Newton Institute for Mathematical Sciences.

Arguin, L. (2015, July 22). Fluctuation bounds for interface free energies in spin glasses. Disordered Models of Mathematical Physics. Valparaiso, Chile: Universidad de Chile.

Arguin, L. (2015, February 17). Maxima of log-correlated Gaussian fields and of the Riemann Zeta function on the critical line. Spin Glasses, Random Graphs and Percolation. Paris, France: Institut Henri-Poincaré.

Arguin, L. (2015, January 30). Maxima of log-correlated Gaussian elds and of the Riemann Zeta function on the critical line. Columbia Probability Seminar. New York: Columbia University.

Arguin, L. (2015, January 23). Gaussian Fields and the Maxima of the Riemann Zeta Function on the Critical Line. Rhein-Main Kolloquium Stochastik. Mainz, Germany: Mainz Universität, Goethe Universität.

Arguin, L. (2015, May 1). Maxima of log-correlated Gaussian fields and the Riemann Zeta function on the critical line. UChicago Probability Seminar. Chicago, Ill.: University of Chicago.

Arguin, L. (2015, June 15). Maxima of branching random walk and of the Riemann zeta function on the critical line. Annual meeting, Statistical Society of Canada. Halifax, Canada: Statistical Society of Canada.

Arguin, L. (2015, January 5). Extrema of log-correlated random-variables: principles and examples. Introductory School Institut Henri-Poincaré trimester. Centre International de Rencontres Mathématiques, Marseille: Institut Henri-Poincaré.

Arguin, L. (2014, November 12). A primer in Log-Correlated Gaussian Fields. Quantitative Finance Seminar. New York: Baruch College.

Arguin, L. (2014, December 6). Probabilistic Approach for the Maxima of the Riemann Zeta Function on the Critical Line. Canadian Mathematical Society, Winter meeting. Hamilton, Ontario, Canada: Canadian Mathematical Society.

Arguin, L. (2014, November 18). Probabilistic Approach for the Maxima of the Riemann Zeta Function on the Critical Line. Temple-Penn Probability Seminar. Philadelphia, Pa: Temple University, University of Pennsylvania.

Arguin, L. (2014, November 4). Probabilistic approach for the maxima of the Riemann Zeta function on the critical line. CUNY Probability Seminar. New York: CUNY.

Other Scholarly Works

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