Nicholas Ercolani
Affiliations: | University of Arizona, Tucson, AZ |
Area:
MathematicsGoogle:
"Nicholas Ercolani"Children
Sign in to add trainee| Maria A. Agrotis | grad student | 2002 | University of Arizona |
| Virgil Pierce | grad student | 2004 | University of Arizona |
| Yixia Lu | grad student | 2005 | University of Arizona |
| Jesus A. Espinola Rocha | grad student | 2006 | University of Arizona |
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Publications
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| Ercolani NM, Kamburov N, Lega J. (2018) The phase structure of grain boundaries. Philosophical Transactions. Series a, Mathematical, Physical, and Engineering Sciences. 376 |
| Ercolani NM, Pierce VU. (2012) The continuum limit of Toda lattices for random matrices with odd weights Communications in Mathematical Sciences. 10: 267-305 |
| Ercolani NM. (2011) Caustics, counting maps and semi-classical asymptotics Nonlinearity. 24: 481-526 |
| Ercolani NM, McLaughlin KDTR, Pierce VU. (2008) Random matrices, graphical enumeration and the continuum limit of toda lattices Communications in Mathematical Physics. 278: 31-81 |
| Ercolani NM, Lozano GI. (2006) A bi-Hamiltonian structure for the integrable, discrete non-linear Schrödinger system Physica D: Nonlinear Phenomena. 218: 105-121 |
| Glasgow SA, Agrotis MA, Ercolani NM. (2005) An integrable reduction of inhomogeneously broadened optical equations Physica D: Nonlinear Phenomena. 212: 82-99 |
| Ercolani N, Taylor M. (2004) The dirichlet-to-neumann map, viscosity solutions to eikonal equations, and the self-dual equations of pattern formation Physica D: Nonlinear Phenomena. 196: 205-223 |
| Ercolani N, Indik R, Newell AC, et al. (2003) Global description of patterns far from onset: A case study Physica D: Nonlinear Phenomena. 184: 127-140 |
| Ercolani NM, McLaughlin KTR. (2001) Asymptotics and integrable structures for biorthogonal polynomials associated to a random two-matrix model Physica D: Nonlinear Phenomena. 152: 232-268 |
| Ercolani NM, Indik R, Newell AC, et al. (2000) The geometry of the phase diffusion equation Journal of Nonlinear Science. 10: 223-274 |