Ercolani, Nicholas M. The Poisson geometry of Plancherel formulas for triangular groups. (English) Zbl 07722801 Physica D 453, Article ID 133801, 15 p. (2023). MSC: 81R12 70M20 37K10 14L24 70G45 81Q80 PDFBibTeX XMLCite \textit{N. M. Ercolani}, Physica D 453, Article ID 133801, 15 p. (2023; Zbl 07722801) Full Text: DOI arXiv
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan Lusztig factorization dynamics of the full Kostant-Toda lattices. (English) Zbl 1514.37075 Math. Phys. Anal. Geom. 26, No. 1, Paper No. 2, 55 p. (2023). MSC: 37J35 37J37 17B80 70H06 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{J. Ramalheira-Tsu}, Math. Phys. Anal. Geom. 26, No. 1, Paper No. 2, 55 p. (2023; Zbl 1514.37075) Full Text: DOI arXiv
Ercolani, Nicholas M.; Waters, Patrick Relating random matrix map enumeration to a universal symbol calculus for recurrence operators in terms of Bessel-Appell polynomials. (English) Zbl 1497.05020 Random Matrices Theory Appl. 11, No. 4, Article ID 2250037, 152 p. (2022). MSC: 05A40 05C30 16T05 34M55 60B20 60C05 70S10 83E30 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{P. Waters}, Random Matrices Theory Appl. 11, No. 4, Article ID 2250037, 152 p. (2022; Zbl 1497.05020) Full Text: DOI arXiv
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan A path-counting analysis of phase shifts in box-ball systems. (English) Zbl 1522.37018 SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 063, 42 p. (2022). MSC: 37B15 17B80 37J70 37J35 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{J. Ramalheira-Tsu}, SIGMA, Symmetry Integrability Geom. Methods Appl. 18, Paper 063, 42 p. (2022; Zbl 1522.37018) Full Text: DOI arXiv
Ercolani, Nicholas M.; Ramalheira-Tsu, Jonathan The ghost-box-ball system: a unified perspective on soliton cellular automata, the RSK algorithm and phase shifts. (English) Zbl 1491.37019 Physica D 426, Article ID 132986, 22 p. (2021). MSC: 37B15 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{J. Ramalheira-Tsu}, Physica D 426, Article ID 132986, 22 p. (2021; Zbl 1491.37019) Full Text: DOI arXiv
Ercolani, N. M.; McLaughlin, K. D. T-R.; Pierce, V. U. Random matrices, graphical enumeration and the continuum limit of Toda lattices. (English) Zbl 1150.15009 Commun. Math. Phys. 278, No. 1, 31-81 (2008). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 15B52 05C30 37K60 PDFBibTeX XMLCite \textit{N. M. Ercolani} et al., Commun. Math. Phys. 278, No. 1, 31--81 (2008; Zbl 1150.15009) Full Text: DOI arXiv
Ercolani, Nicholas M.; McLaughlin, Kenneth T.-R. Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model. (English) Zbl 1038.82042 Physica D 152-153, 232-268 (2001). MSC: 82B44 42C05 15B52 33E99 34M50 37K10 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{K. T. R. McLaughlin}, Physica D 152--153, 232--268 (2001; Zbl 1038.82042) Full Text: DOI
Miller, Peter D.; Ercolani, Nicholas M.; Krichever, Igor M.; Levermore, C. David Finite genus solutions to the Ablowitz-Ladik equations. (English) Zbl 0869.34065 Commun. Pure Appl. Math. 48, No. 12, 1369-1440 (1995). Reviewer: H.D.Voulov (Sofia) MSC: 34L40 35Q55 35Q58 35A10 34C23 37G99 PDFBibTeX XMLCite \textit{P. D. Miller} et al., Commun. Pure Appl. Math. 48, No. 12, 1369--1440 (1995; Zbl 0869.34065) Full Text: DOI
Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.; Sinha, A. Strongly nonlinear modal equations for nearly integrable PDEs. (English) Zbl 0797.35144 J. Nonlinear Sci. 3, No. 3, 393-426 (1993). MSC: 35Q53 37J40 37A30 PDFBibTeX XMLCite \textit{N. M. Ercolani} et al., J. Nonlinear Sci. 3, No. 3, 393--426 (1993; Zbl 0797.35144) Full Text: DOI
Ercolani, Nicholas M.; Forest, M. Gregory The geometry of real sine-Gordon wavetrains. (English) Zbl 0591.35065 Commun. Math. Phys. 99, No. 1, 1-49 (1985). MSC: 35Q55 35B15 35Q51 81Q05 58J15 PDFBibTeX XMLCite \textit{N. M. Ercolani} and \textit{M. G. Forest}, Commun. Math. Phys. 99, 1--49 (1985; Zbl 0591.35065) Full Text: DOI