Boundary value problems for nonlinear integrable equations

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Publications

Long-time asymptotics for the Degasperis–Procesi equation on the half-line

Author(s): Anne Boutet de Monvel, Jonatan Lenells, Dmitry Shepelsky
Published in: Annales de l'Institut Fourier, Issue 69/1, 2019, Page(s) 171-230, ISSN 1777-5310
Publisher: l'Institut Fourier
DOI: 10.5802/aif.3241

Construction of solutions and asymptotics for the defocusing NLS with periodic boundary data

Author(s): Jonatan Lenells, Ronald Quirchmayr
Published in: Journal of Differential Equations, Issue 304, 2021, Page(s) 348-374, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2021.10.002

"The ""good'' Boussinesq equation: long-time asymptotics"

Author(s): Charlier, C.; Lenells, J.; Wang, D.
Published in: To appear in Analysis & PDE, 2020, ISSN 2157-5045
Publisher: Mathematical Sciences Publishers

On the spectral problem associated with the time-periodic nonlinear Schrödinger equation

Author(s): Jonatan Lenells, Ronald Quirchmayr
Published in: Mathematische Annalen, Issue 377/3-4, 2020, Page(s) 1193-1264, ISSN 0025-5831
Publisher: Springer Verlag
DOI: 10.1007/s00208-019-01856-x

Toward classification of 2nd order superintegrable systems in 3 dimensional conformally flat spaces with functionally linearly dependent symmetry operators

Author(s): B. K. Berntson, E. G. Kalnins, W. Miller Jr.
Published in: Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), Issue 16, 2020, Page(s) 135, 33 pages, ISSN 1815-0659
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/sigma.2020.135

A few surprising integrals

Author(s): Malin Palö Forsström, Jeffrey E. Steif
Published in: Statistics & Probability Letters, Issue 157, 2020, Page(s) 108635, ISSN 0167-7152
Publisher: Elsevier BV
DOI: 10.1016/j.spl.2019.108635

The multiplicative constant for the Meijer-G kernel determinant

Author(s): Christophe Charlier; Jonatan Lenells; Julian Mauersberger
Published in: Nonlinearity, Issue 34, 2021, Page(s) 2837-2877, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/abd996

A Periodic Hexagon Tiling Model and Non-Hermitian Orthogonal Polynomials

Author(s): C. Charlier, M. Duits, A. B. J. Kuijlaars, J. Lenells
Published in: Communications in Mathematical Physics, Issue 378/1, 2020, Page(s) 401-466, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-020-03779-0

A new way to classify 2D higher order quantum superintegrable systems

Author(s): Berntson, Bjorn K.; Marquette, Ian; Miller, Jr, Willard
Published in: Journal of Physics A: Mathematical and Theoretical, Issue 53, 2020, Page(s) 1-21, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/abc04a

The focusing NLS equation with step-like oscillating background: scenarios of long-time asymptotics

Author(s): Anne Boutet de Monvel, Jonatan Lenells, Dmitry Shepelsky
Published in: Communications in Mathematical Physics, Issue 383, 2021, Page(s) 893-952, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-03946-x

Construction of solutions of the defocusing nonlinear Schrödinger equation with asymptotically time‐periodic boundary values

Author(s): Samuel Fromm
Published in: Studies in Applied Mathematics, Issue 143/4, 2019, Page(s) 404-448, ISSN 0022-2526
Publisher: Blackwell Publishing Inc.
DOI: 10.1111/sapm.12285

On the non-chiral intermediate long wave equation II: periodic case

Author(s): Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan
Published in: To appear in Nonlinearity, 2021, ISSN 0951-7715
Publisher: Institute of Physics Publishing

Nonpositive Curvature of the quantomorphism group and quasigeostrophic motion

Author(s): Jae Min Lee, Stephen C. Preston
Published in: Differential Geometry and Its Applications, Issue 74, 2021, Page(s) 101698, ISSN 0926-2245
Publisher: Elsevier BV
DOI: 10.1016/j.difgeo.2020.101698

The focusing NLS equation with step-like oscillating background: the genus 3 sector

Author(s): de Monvel, Anne Boutet; Lenells, Jonatan; Shepelsky, Dmitry
Published in: Communications in Mathematical Physics, Issue 390, 2022, Page(s) 1081-1148, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04288-4

Long-time asymptotics for an integrable evolution equation with a 3 × 3 Lax pair

Author(s): Christophe Charlier; Jonatan Lenells
Published in: Physica D: Nonlinear Phenomena, Issue 426, 2021, Page(s) 132987, ISSN 0167-2789
Publisher: Elsevier BV
DOI: 10.1016/j.physd.2021.132987

Multi-solitons of the half-waves map equation and Calogero-Moser spin-pole dynamics

Author(s): Bjorn Karl Berntson, Rob Klabbers, Edwin Langmann
Published in: Journal of Physics A: Mathematical and Theoretical, 2020, ISSN 1751-8113
Publisher: Institute of Physics Publishing
DOI: 10.1088/1751-8121/abb167

The hyperbolic Ernst–Maxwell equations in a triangular domain

Author(s): Julian Mauersberger
Published in: Nonlinearity, Issue 33/1, 2020, Page(s) 511-537, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/ab4e47

Airy and Painlevé asymptotics for the mKdV equation

Author(s): Christophe Charlier, Jonatan Lenells
Published in: Journal of the London Mathematical Society, Issue 101/1, 2019, Page(s) 194-225, ISSN 0024-6107
Publisher: Oxford University Press
DOI: 10.1112/jlms.12265

A new approach to integrable evolution equations on the circle

Author(s): A. S. Fokas and J. Lenells
Published in: Proc. Roy. Soc. A, Issue 477, 2021, ISSN 1471-2946
Publisher: The Royal Society
DOI: 10.1098/rspa.2020.0605

The KdV Equation on the Half-Line: Time-Periodicity and Mass Transport

Author(s): Jerry L. Bona, Jonatan Lenells
Published in: SIAM Journal on Mathematical Analysis, Issue 52/2, 2020, Page(s) 1009-1039, ISSN 0036-1410
Publisher: Society for Industrial and Applied Mathematics
DOI: 10.1137/19m1271981

On the non-chiral intermediate long wave equation

Author(s): Berntson, Bjorn K.; Langmann, Edwin; Lenells, Jonatan
Published in: To appear in Nonlinearity, 2020, ISSN 0951-7715
Publisher: Institute of Physics Publishing

Higher order large gap asymptotics at the hard edge for Muttalib--Borodin ensembles

Author(s): Charlier, Christophe; Lenells, Jonatan; Mauersberger, Julian
Published in: Communications in Mathematical Physics, Issue 384, 2021, Page(s) 829-907, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-021-04059-1

The hyperbolic Ernst equation in a triangular domain

Author(s): Jonatan Lenells, Julian Mauersberger
Published in: Analysis and Mathematical Physics, Issue 10/1, 2020, ISSN 1664-2368
Publisher: Birkhäuser
DOI: 10.1007/s13324-019-00347-1

Asymptotics for the Sasa–Satsuma equation in terms of a modified Painlevé II transcendent

Author(s): Lin Huang, Jonatan Lenells
Published in: Journal of Differential Equations, Issue 268/12, 2020, Page(s) 7480-7504, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2019.11.062

Upper bounds for the maximum deviation of the Pearcey process

Author(s): Christophe Charlier
Published in: Random Matrices: Theory and Applications, Issue 10, 2021, Page(s) 2150039, ISSN 2010-3263
Publisher: World Scientific
DOI: 10.1142/s2010326321500398

Admissible Boundary Values for the Gerdjikov-Ivanov Equation with Asymptotically Time-Periodic Boundary Data

Author(s): Samuel Fromm
Published in: Symmetry, Integrability and Geometry: Methods and Applications, 2020, ISSN 1815-0659
Publisher: Department of Applied Research, Institute of Mathematics of National Academy of Science of Ukraine
DOI: 10.3842/SIGMA.2020.079

Large gap asymptotics for the generating function of the sine point process.

Author(s): Christophe Charlier
Published in: Proceedings of the London Mathematical Society, Issue 123, 2021, Page(s) 103-152, ISSN 0024-6115
Publisher: Oxford University Press
DOI: 10.1112/plms.12393

"The ""good"" Boussinesq equation: a Riemann-Hilbert approach"

Author(s): Charlier, C.; Lenells, J.
Published in: To appear in Indiana University Mathematics Journal, 2020, ISSN 0022-2518
Publisher: Indiana University Press

"The implementation of the unified transform to the nonlinear Schr\""odinger equation with periodic initial conditions"

Author(s): Bernard Deconinck; Athanassios S. Fokas; Jonatan Lenells
Published in: Letters in Mathematical Physics, Issue 111, 2021, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.17863/cam.64571

Diagonalization of the finite Hilbert transform on two adjacent intervals: the Riemann–Hilbert approach

Author(s): Marco Bertola, Elliot Blackstone, Alexander Katsevich, Alexander Tovbis
Published in: Analysis and Mathematical Physics, Issue 10/3, 2020, ISSN 1664-2368
Publisher: Birkhäuser
DOI: 10.1007/s13324-020-00371-6

Long-time asymptotics for the derivative nonlinear Schrödinger equation on the half-line

Author(s): Lynnyngs Kelly Arruda, Jonatan Lenells
Published in: Nonlinearity, Issue 30/11, 2017, Page(s) 4141-4172, ISSN 0951-7715
Publisher: Institute of Physics Publishing
DOI: 10.1088/1361-6544/aa84c6

The nonlinear steepest descent method for Riemann-Hilbert problems of low regularity

Author(s): Jonatan Lenells
Published in: Indiana University Mathematics Journal, Issue 66/4, 2017, Page(s) 1287-1332, ISSN 0022-2518
Publisher: Indiana University Press
DOI: 10.1512/iumj.2017.66.6078

Absence of Solitons for the Defocusing NLS Equation on the Half-line

Author(s): Jonatan Lenells
Published in: Letters in Mathematical Physics, Issue 106/9, 2016, Page(s) 1235-1241, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-016-0867-1

Nonlinear Fourier transforms for the sine-Gordon equation in the quarter plane

Author(s): Lin Huang, Jonatan Lenells
Published in: Journal of Differential Equations, Issue 264/5, 2018, Page(s) 3445-3499, ISSN 0022-0396
Publisher: Academic Press
DOI: 10.1016/j.jde.2017.11.023

Matrix Riemann–Hilbert problems with jumps across Carleson contours

Author(s): Lenells, Jonatan
Published in: Monatshefte für Mathematik, Issue 9, 2018, ISSN 0026-9255
Publisher: Springer Verlag
DOI: 10.13039/501100003426

Construction of solutions and asymptotics for the sine-Gordon equation in the quarter plane

Author(s): Lin Huang, Jonatan Lenells
Published in: Journal of Integrable Systems, Issue 3/1, 2018, ISSN 2058-5985
Publisher: Oxford University Press
DOI: 10.1093/integr/xyy014

Asymptotics to all orders of the Euler–Darboux equation in a triangle

Author(s): Julian Mauersberger
Published in: Journal of Mathematical Analysis and Applications, Issue 471/1-2, 2019, Page(s) 180-196, ISSN 0022-247X
Publisher: Academic Press
DOI: 10.1016/j.jmaa.2018.10.071

A steady, purely azimuthal flow model for the Antarctic Circumpolar Current

Author(s): Ronald Quirchmayr
Published in: Monatshefte für Mathematik, Issue 187/3, 2018, Page(s) 565-572, ISSN 0026-9255
Publisher: Springer Verlag
DOI: 10.1007/s00605-017-1097-z

Shallow water equations for equatorial tsunami waves

Author(s): Anna Geyer, Ronald Quirchmayr
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Issue 376/2111, 2017, Page(s) 20170100, ISSN 1364-503X
Publisher: Royal Society of London
DOI: 10.1098/rsta.2017.0100

Schramm’s Formula and the Green’s Function for Multiple SLE

Author(s): Jonatan Lenells, Fredrik Viklund
Published in: Journal of Statistical Physics, Issue 176/4, 2019, Page(s) 873-931, ISSN 0022-4715
Publisher: Kluwer Academic/Plenum Publishers
DOI: 10.1007/s10955-019-02325-0

Exact Solution of a Neumann Boundary Value Problem for the Stationary Axisymmetric Einstein Equations

Author(s): Jonatan Lenells, Long Pei
Published in: Journal of Nonlinear Science, 2019, ISSN 0938-8974
Publisher: Springer Verlag
DOI: 10.1007/s00332-018-9527-1

Shallow water models for stratified equatorial flows

Author(s): Geyer, Anna; Quirchmayr, Ronald
Published in: Discrete and Continuous Dynamical Systems, Issue 39, 2019, Page(s) 4533-4545, ISSN 1078-0947
Publisher: Dept. of Mathematics, Southwest Missouri State University
DOI: 10.3934/dcds.2019186

Asymptotics of Hankel determinants with a Laguerre-type or Jacobi-type potential and Fisher-Hartwig singularities

Author(s): Charlier, Christophe; Gharakhloo, Roozbeh
Published in: Advances in Mathematics, Issue 383, 2021, Page(s) 107672, ISSN 0001-8708
Publisher: Academic Press
DOI: 10.1016/j.aim.2021.107672

Oscillatory Asymptotics for the Airy Kernel Determinant on Two Intervals

Author(s): Elliot Blackstone, Christophe Charlier, Jonatan Lenells
Published in: International Mathematics Research Notices, 2020, ISSN 1073-7928
Publisher: Oxford University Press
DOI: 10.1093/imrn/rnaa205

Matrix orthogonality in the plane versus scalar orthogonality in a Riemann surface

Author(s): Christophe Charlier
Published in: Transactions of Mathematics and Its Applications, Issue 5, 2021, ISSN 2398-4945
Publisher: Oxford University Press
DOI: 10.1093/imatrm/tnab004

The Virasoro fusion kernel and Ruijsenaars' hypergeometric function.

Author(s): Roussillon, Julien
Published in: Letters in Mathematical Physics, Issue 111, 2021, ISSN 0377-9017
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s11005-020-01351-4

Linearizable boundary value problems for the elliptic sine-Gordon and the elliptic Ernst equations

Author(s): Jonatan Lenells, Athanassios S. Fokas
Published in: Journal of Nonlinear Mathematical Physics, Issue 27/2, 2020, Page(s) 337-356, ISSN 1402-9251
Publisher: Luleaa University of Technology
DOI: 10.1080/14029251.2020.1700649

Divide and color representations for threshold Gaussian and stable vectors

Author(s): Malin P. Forsström, Jeffrey E. Steif
Published in: Electronic Journal of Probability, Issue 25/0, 2020, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-ejp459

Nonchiral intermediate long-wave equation and interedge effects in narrow quantum Hall systems

Author(s): Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
Published in: Physical Review B, Issue 102/15, 2020, ISSN 2469-9950
Publisher: American Physical Society
DOI: 10.1103/physrevb.102.155308

Asymptotic Analysis of Dotsenko–Fateev Integrals

Author(s): Jonatan Lenells, Fredrik Viklund
Published in: Annales Henri Poincaré, Issue 20/11, 2019, Page(s) 3799-3848, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-019-00849-5

The family of confluent Virasoro fusion kernels and a non-polynomial $q$-Askey scheme

Author(s): Lenells, Jonatan; Roussillon, Julien
Published in: To appear in Advances in Theoretical and Mathematical Physics, 2022, ISSN 1095-0761
Publisher: International Press

When are sequences of Boolean functions tame?

Author(s): Malin P. Forsström
Published in: Electronic Communications in Probability, Issue 1, 2021, Page(s) 1-13, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/21-ecp438

A tame sequence of transitive Boolean functions

Author(s): Malin Palö Forsström
Published in: Electronic Communications in Probability, Issue 25, 2020, Page(s) 1-8, ISSN 1083-589X
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-ecp366

Well-posedness of a highly nonlinear shallow water equation on the circle

Author(s): Nilay Duruk Mutlubas, Anna Geyer, Ronald Quirchmayr
Published in: Nonlinear Analysis, Issue 197, 2020, Page(s) 111849, ISSN 0362-546X
Publisher: Pergamon Press Ltd.
DOI: 10.1016/j.na.2020.111849

Confluent conformal blocks of the second kind

Author(s): Jonatan Lenells, Julien Roussillon
Published in: Journal of High Energy Physics, Issue 2020/6, 2020, ISSN 1029-8479
Publisher: Institute of Physics Publishing
DOI: 10.1007/jhep06(2020)133

A formula for hidden regular variation behavior for symmetric stable distributions

Author(s): Malin Palö Forsström, Jeffrey E. Steif
Published in: Extremes, Issue 23/4, 2020, Page(s) 667-691, ISSN 1386-1999
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10687-020-00381-4

Color representations of Ising models

Author(s): Forsström, Malin Palö
Published in: Journal of Theoretical Probability, Issue 35, 2022, Page(s) 603-635, ISSN 1572-9230
Publisher: Springer New York
DOI: 10.1007/s10959-020-01051-8

Doubly periodic lozenge tilings of a hexagon and matrix valued orthogonal polynomials

Author(s): Charlier, Christophe
Published in: Studies in Applied Mathematics, Issue 146, 2020, Page(s) 3-80, ISSN 0022-2526
Publisher: Blackwell Publishing Inc.
DOI: 10.1111/sapm.12339

Gap probabilities in the bulk of the Airy process

Author(s): Elliot Blackstone; Christophe Charlier; Jonatan Lenells
Published in: Random Matrices: Theory and Applications, 2021, Page(s) 2250022 (30 pages), ISSN 2010-3263
Publisher: World Scientific
DOI: 10.1142/s2010326322500228

An Analysis of the Induced Linear Operators Associated to Divide and Color Models

Author(s): Malin P. Forsström, Jeffrey E. Steif
Published in: Journal of Theoretical Probability, Issue 34, 2020, Page(s) 1043–1060, ISSN 0894-9840
Publisher: Kluwer Academic Publishers
DOI: 10.1007/s10959-020-01001-4

The focusing NLS equation with step-like oscillating background: asymptotics in a transition zone

Author(s): Anne Boutet de Monvel, Jonatan Lenells, Dmitry Shepelsky
Published in: 2020
Publisher: arXiv

The hard-to-soft edge transition: exponential moments, central limit theorems and rigidity

Author(s): Charlier, Christophe; Lenells, Jonatan
Published in: Issue 1, 2021
Publisher: arXiv

Wilson loops in finite Abelian lattice gauge theories

Author(s): Forsström, Malin Palö; Lenells, Jonatan; Viklund, Fredrik
Published in: Issue 1, 2020
Publisher: arXiv
DOI: 10.48550/arxiv.2001.07453

Wilson loops in the abelian lattice Higgs model

Author(s): Forsström, Malin P.; Lenells, Jonatan; Viklund, Fredrik
Published in: 2021
Publisher: arXiv

Asymptotics of Muttalib-Borodin determinants with Fisher-Hartwig singularities

Author(s): Charlier, Christophe
Published in: Issue 1, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2103.09204

On the generating function of the Pearcey process

Author(s): Charlier, Christophe; Moreillon, Philippe
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2107.01859

The Bessel kernel determinant on large intervals and Birkhoff's ergodic theorem

Author(s): Blackstone, Elliot; Charlier, Christophe; Lenells, Jonatan
Published in: To appear in Comm. Pure Appl. Math., 2021
Publisher: arXiv

"The defocusing nonlinear Schr\""odinger equation with step-like oscillatory initial data"

Author(s): Fromm, Samuel; Lenells, Jonatan; Quirchmayr, Ronald
Published in: 2021
Publisher: arXiv

Wilson lines in the Abelian lattice Higgs model

Author(s): Malin Palö Forsström
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2111.06620

On Boussinesq's equation for water waves

Author(s): C. Charlier, J. Lenells
Published in: 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2204.02365

Spin generalizations of the Benjamin-Ono equation

Author(s): Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells
Published in: 2022
Publisher: arXiv
DOI: 10.48550/arxiv.2201.07269

Asymptotics of Hankel determinants with a multi-cut regular potential and Fisher-Hartwig singularities

Author(s): Christophe Charlier, Benjamin Fahs, Christian Webb, Mo Dick Wong
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2111.08395

The Robin problem for the nonlinear Schrödinger equation on the half-line

Author(s): Jae Min Lee, Jonatan Lenells
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2111.02629

Non-polynomial q-Askey scheme: integral representations, eigenfunction properties, and polynomial limits

Author(s): Jonatan Lenells, Julien Roussillon
Published in: 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2105.10896

Asymptotics of determinants with a rotation-invariant weight and discontinuities along circles

Author(s): Charlier, Christophe
Published in: 2021
Publisher: arXiv

On the Asymptotics to all Orders of the Riemann Zeta Function and of a Two-Parameter Generalization of the Riemann Zeta Function

Author(s): A. S. Fokas, J. Lenells
Published in: Memoirs of the American Mathematical Society, Issue Volume 275, 2022, Page(s) 114 pages, ISBN 9781470450984
Publisher: American Mathematical Society
DOI: 10.1090/memo/1351

Global rigidity and exponential moments for soft and hard edge point processes

Author(s): Charlier, Christophe; Claeys, Tom
Published in: Probability and Mathematical Physics, Issue 2, 2021, Page(s) 363-417, ISSN 2690-0998
Publisher: Mathematical Sciences Publishers
DOI: 10.2140/pmp.2021.2.363

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