Mathematics And Statistics

  • United Kingdom

Research Output 1971 2020

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Chapter (peer-reviewed)
2017

Trace formulae for Schrödinger operators with singular interactions

Behrndt, J., Langer, M. & Lotoreichik, V., 31 May 2017, Functional Analysis and Operator Theory for Quantum Physics: The Pavel Exner Anniversary Volume. Dittrich, J., Kovarik, H. & Laptev, A. (eds.). Switzerland, p. 129-152 24 p. (EMS Series of Congress Reports; vol. 12).

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Open Access
File
Trace Formula
Resolvent
Schrödinger Operator
Trace
Dirichlet-to-Neumann Map
2012

Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples

Behrndt, J. & Langer, M., Oct 2012, Operator Methods for Boundary Value Problems. Hassi, S., de Snoo, H. S. V. & Szafraniec, F. H. (eds.). p. 121-160 40 p. (London Mathematial Society Lecture Note Series).

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Weyl Function
Self-adjointness
Dirichlet-to-Neumann Map
Differential Expression
Spectral Problem

On stochastic differential equations and a generalised Burgers equation

Wu, J. & Yang, W., 2012, Stochastic Analysis and Its Applications: Essays in Honuor of Professor Jia-An Yan. Zhang, T. & Zhou, X. (eds.). Singapore, Vol. 13. p. 425-435 11 p. (Interdisciplinary Mathematical Sciences; vol. 13).

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Open Access
File
Burgers Equation
Generalized Equation
Stochastic Equations
Differential equation
Nonlinear Partial Differential Equations
2010

On norms in indefinite product spaces

Langer, M. & Luger, A., 2010, Recent Advances in Operator Theory in Hilbert and Krein Spaces. Behrndt, J., Förster, K-H. & Trunk, C. (eds.). Vol. 198. p. 259-264 6 p. (Operator Theory: Advances and Applications).

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Pontryagin Space
Krein Space
Product Space
Norm
Decompose
2008

The HELP inequality on trees

Brown, B. M., Langer, M. & Schmidt, K. M., 15 Nov 2008, Analysis on graphs and its applications. Exner, P., Keating, J. P., Kutchment, P., Sunada, T. & Teplyaev, A. (eds.). Vol. 77. p. 337-354 18 p. (Proceedings of Symposia in Pure Mathematics; vol. 77).

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

File
Graph Laplacian
Limit Point
Schrödinger
Integro-differential Equation
Analogue
2006

Scalar generalized nevanlinna functions: realizations with block operator matrices

Langer, M. & Luger, A., 2006, Operator theory in Krein spaces and nonlinear eigenvalue problems. Förster, K-H., Langer, H. & Jonas, P. (eds.). p. 253-276 25 p. (Operator Theory: Advances and Applications; vol. 162).

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Q-function
Operator Matrix
Block Matrix
Factorization
Scalar
2004

Experimental validation of an individual-based model for zooplankton swarming

Banas, N. S., Wang, D-P. & Yen, J., 2004, Handbook of Scaling Methods in Aquatic Ecology: Measurement, Analysis, Simulation. Seuront, L. & Strutton, P. G. (eds.). Boca Raton, FL, p. 161-180 20 p.

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

swarming
individual-based model
zooplankton
shaft
autocorrelation