Home » Alexander Its

Alexander Its

Members

Name

Alexander Its

Affiliation

Indiana University Purdue University Indianapolis (IUPUI)

Email

aits@iupui.edu

Phone (1)

1-(317) 603 7781

Areas of research (1)

Mathematical Physics and Integrable systems

Area of research (2)

Asymptotic analysis, special functions, orthogonal polynomials, matrix models

Area of research (3)

Exactly solvable quantum field and statistical mechanics models

Area of research (4)

Soliton Theory

Students with dates (current and since last year) and affiliation (1)

Andrei Prokhorov, 2013 – April 2019, IUPUI

Students with dates (current and since last year) and affiliation (2)

Roozbeh Gharakhloo, 2013 – April 2019, IUPUI

Selected Recent Publications (past 2 years only) (1)

T. Bothner, P. Deift, A. Its, and I. Krasovsky On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential , Communications in Mathematical Physics, 337, 1397 { 1463 (2015) arXiv:1512.02883

Selected Recent Publications (past 2 years only) (2)

M. A. Guest, A. R. Its, Ch.-Sh. Lin, Isomonodromy aspects of the tt* equations of Cecotti and Vafa I. Stokes data. arXiv:1209.2045 [math.DG] Int Mathematics Research Notices Volume 2015, Issue 22, pp. 11745- 11784.

Selected Recent Publications (past 2 years only) (3)

M. A. Guest, A. R. Its, Ch.-Sh. Lin, Isomonodromy aspects of the tt* equations of Cecotti and Vafa II. Riemann-Hilbert problem Communications in Mathematical Physics, 336, 337 { 380 (2015) arXiv:1312.4825

Selected Recent Publications (past 2 years only) (4)

A. Its, O. Lisovyy, Yu. Tykhyy, Connection problem for the sine-Gordon/Painleve III tau function and irregular conformal blocks, International Mathematics Research Notes 2015; do: 10.1093/imrn/rnu209 (arXiv:1403.1235)

Selected Recent Publications (past 2 years only) (5)

A. Its, A. Prokhorov, Connection Problem for the Tau-Function of the Sine-Gordon Reduction of Painleve-III Equation via the Riemann-Hilbert Approach International Mathematical Research Notices Volume 2016, issue 22 arXiv: 1506.07485

Selected Recent Publications (past 2 years only) (6)

A. Bogatskiy, T. Claeys, A. Its, Hankel determinant and orthogonal polynomials for a Gaussian weight with a discontinuity at the edge, Communications in Mathematical Physics, Volume 347, issue 1, 127 { 162, 2016

Selected Recent Publications (past 2 years only) (7)

T. Grava, A. Its, A. Kapaev, F. Mezzadri, On the Tracy-Widom beta- distribution for beta = 6, SIGMA, 12, 2016, 26 pages

Selected Recent Publications (past 2 years only) (8)

A. Its, V. Sukhanov, A Riemann-Hilbert approach to the inverse problem for the Stark operator on the line, Inverse Problems, Volume 32, Number 5, 2016

Selected Recent Publications (past 2 years only) (9)

T. Bothner, P. Deift, A. Its, and I. Krasovsky On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II. Operator Theory: Advances and Applications, Volume 259, 213 – 234, 2017 (Large Truncated Toeplitz Matrices, Toeplitz Operators, and Related Topics – volume dedicated to Albrecht Boettcher's 60th birthday.) arXiv:1512.02883

Selected Recent Publications (past 2 years only) (10)

A. R. Its, O. Lisovyy, and A. Prokhorov, Monodromy dependence and connection formulae for isomonodromic tau functions, Duke Math. J. (2018) DOI 10.1215/00127094-2017-0055

Recent Invited Talks and Lectures (past year only) (1)

On the Tracy-Widon beta distribution for beta=6. Invited talk at the Seminar of the CRM PhysMath Laboratory, Montreal, July, 27 2018

Recent Invited Talks and Lectures (past year only) (2)

On some Hamiltonian properties of the isomonodromic tau functions. Invited talk at the SISSA Seminar on Integrable System, Trieste, Italy, May 11, 2018

Recent Invited Talks and Lectures (past year only) (3)

The Riemann-Hilbert approach to the determinants of Toeiplitz + Hankel matrices. Invited talk at the SISSA Seminar on Integrable System, Trieste, Italy, May 16, 2018

Recent Invited Talks and Lectures (past year only) (4)

The Riemann-Hilbert approach to the determinants of Toeiplitz + Hankel matrices. Invited talk at 10th Saint-Petersburg Conference in Spectral Theory, St. Petersburg, Russia, June 10, 2018

Recent Invited Talks and Lectures (past year only) (5)

On some Hamiltonian properties of the isomonodromic tau functions. Invited talk at the Conference Hamiltonian Systems and Applications, Milan, Italy, June 27, 2018

Recent Invited Talks and Lectures (past year only) (6)

On the Tracy-Widon beta distribution for beta=6. Invited talk at the Mathematical Physics Seminar, Purdue University, September 27, 2018

Recent Awards, Distinctions, Prizes (past 2 years) (1)

On the Tracy-Widon beta distribution for beta=6. Invited talk at the weekly Seminar of the the Program on Exactly Solvable Models of Quantum Field Theory and Statistical Mechanics at the Simons Center for Geometry and Physics, Stony Brook, NY, November 19, 2018

Recent Awards, Distinctions, Prizes (past 2 years)(2)

Presedent's Medal of the President of Indiana University

Recent conferences organized or co-organized (past 2 years only) (1)

Tau Functions of Integrable Systems and Their Applications, Banff Conference, September 2 – 7, 2018

Aller à la barre d’outils