Research Output 1953 2017

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2017

Long term effects of small random perturbations on dynamical systems: Theoretical and computational tools

Grafke, T., Schäfer, T. & Vanden-Eijnden, E. 2017 Fields Institute Communications. Springer New York LLC, Vol. 79, p. 17-55 39 p. (Fields Institute Communications; vol. 79)

Research output: ResearchChapter

Random Perturbation
Small Perturbations
Dynamical system
Term
Markov Jump Systems

On a local-global principle for H3of function fields of surfaces over a finite field

Pirutka, A. 2017 Progress in Mathematics. Springer Basel, Vol. 320, p. 219-230 12 p. (Progress in Mathematics; vol. 320)

Research output: ResearchChapter

Local-global Principle
Divisibility
Function Fields
Galois field

On the asymptotic behavior of a log gas in the bulk scaling limit in the presence of a varying external potential II

Bothner, T., Deift, P., Its, A. & Krasovsky, I. 2017 Operator Theory: Advances and Applications. Springer International Publishing, Vol. 259, p. 213-234 22 p. (Operator Theory: Advances and Applications; vol. 259)

Research output: ResearchChapter

Scaling Limit
Asymptotic Behavior
Gas
Trace Class Operators
Proposition

Rational points on K3 surfaces and derived equivalence

Hassett, B. & Tschinkel, Y. 2017 Progress in Mathematics. Springer Basel, Vol. 320, p. 87-113 27 p. (Progress in Mathematics; vol. 320)

Research output: ResearchChapter

Derived Equivalence
K3 Surfaces
Rational Points

Universal spaces for unramified galois cohomology

Bogomolov, F. & Tschinkel, Y. 2017 Progress in Mathematics. Springer Basel, Vol. 320, p. 57-86 30 p. (Progress in Mathematics; vol. 320)

Research output: ResearchChapter

Galois Cohomology
Universal Space
Algebraic Variety
Galois field
Closure
2016

An experimental model for simultaneous study of migration of cell fragments, single cells, and cell sheets

Sun, Y. H., Sun, Y., Zhu, K., Draper, B. W., Zeng, Q., Mogilner, A. & Zhao, M. 2016 Methods in Molecular Biology. Humana Press Inc., Vol. 1407, p. 251-272 22 p. (Methods in Molecular Biology; vol. 1407)

Research output: ResearchChapter

Cell Movement
Theoretical Models
Cell Separation
Zebrafish
Cues

CHAPTER 5: Elastic fibers in flows

Lindner, A. & Shelley, M. 2016 Fluid�Structure Interactions in Low-Reynolds-Number Flows. 4 ed. Royal Society of Chemistry, Vol. 2016-January, p. 168-192 25 p. (RSC Soft Matter; vol. 2016-January, no. 4)

Research output: ResearchChapter

Elastic Tissue
Fibers
Microtechnology
Biopolymers
Microfluidics
2015

Constructing a patient-specific model heart from ct data

McQueen, D. M., O’Donnell, T., Griffith, B. E. & Peskin, C. S. Jan 1 2015 Handbook of Biomedical Imaging: Methodologies and Clinical Research. Springer US, p. 183-197 15 p.

Research output: ResearchChapter

Fluids
Blood
Heart Valves

Data-Driven Methods for Dynamical Systems: Quantifying Predictability and Extracting Spatiotemporal Patterns

Glannakis, D. & Majda, A. J. May 8 2015 Mathematical and Computational Modeling: With Applications in Natural and Social Sciences, Engineering, and the Arts. wiley, p. 137-191 55 p.

Research output: ResearchChapter

Spatio-temporal Patterns
Predictability
Data-driven
Ocean
Dynamical system
2014

Scaling limit for compressible viscoelastic fluids

Hu, X. & Lin, F. Jan 1 2014 Frontiers in Differential Geometry, Partial Differential Equations, and Mathematical Physics: In Memory of Gu Chaohao. World Scientific Publishing Co., p. 243-269 27 p.

Research output: ResearchChapter

Viscoelastic Fluid
Scaling Limit
Compressible Fluid
Global Solution
scaling

Transition path theory

Vanden-Eijnden, E. 2014 An Introduction to Markov State Models and Their Application to Long Timescale Molecular Simulation. Springer New York LLC, Vol. 797, p. 91-100 10 p. (Advances in Experimental Medicine and Biology; vol. 797)

Research output: ResearchChapter

Transition path theory

Vanden-Eijnden, E. 2014 An Introduction to Markov State Models and Their Application to Long Timescale Molecular Simulation. Springer New York LLC, Vol. 797, p. 91-100 10 p. (Advances in Experimental Medicine and Biology; vol. 797)

Research output: ResearchChapter

Trajectories
Fluxes
2013

2D coulomb gas, abrikosov lattice and renormalized energy

Serfaty, S. Jan 1 2013 XVIIth International Congress on Mathematical Physics: Aalborg, Denmark, 6-11 August 2012. World Scientific Publishing Co., p. 584-599 16 p.

Research output: ResearchChapter

lattice energy
statistical mechanics
partitions
expansion
gases

Bulk universality for one-dimensional log-gases

Bourgade, P. Jan 1 2013 XVIIth International Congress on Mathematical Physics: Aalborg, Denmark, 6-11 August 2012. World Scientific Publishing Co., p. 404-416 13 p.

Research output: ResearchChapter

statistics
gases
rigidity
eigenvalues
spacing

Canard theory and excitability

Wechselberger, M., Mitry, J. & Rinzel, J. 2013 Nonautonomous Dynamical Systems in the Life Sciences. Springer Verlag, Vol. 2102, p. 89-132 44 p. (Lecture Notes in Mathematics; vol. 2102)

Research output: ResearchChapter

Canard
Excitability
Multiple Scales
Transient Dynamics
Singular Perturbation Problems

Cell division and hyperbolic geometry

Gromov, M. 2013 Springer Proceedings in Mathematics. 1 ed. Vol. 15, p. 225-231 7 p.

Research output: ResearchChapter

Chapter 12: Geometry of large random trees: SPDE approximation

Bakhtin, Y. 2013 Stochastic Geometry, Spatial Statistics and Random Fields: Asymptotic Methods. Vol. 2068, p. 399-440 42 p. (Lecture Notes in Mathematics; vol. 2068)

Research output: ResearchChapter

Random Trees
Approximation
Brownian Sheet
Stochastic PDEs
Superprocess

Complexity of random energy landscapes

Ben Arous, G. Jan 1 2013 XVIIth International Congress on Mathematical Physics: Aalborg, Denmark, 6-11 August 2012. World Scientific Publishing Co., p. 403 1 p.

Research output: ResearchChapter

energy
replicas
broken symmetry
critical point
topology

Domain decomposition methods in science and engineering XX

Bank, R., Holst, M., Widlund, O. & Xu, J. 2013 Domain Decomposition Methods in Science and Engineering XX. Vol. 91, (Lecture Notes in Computational Science and Engineering; vol. 91)

Research output: ResearchChapter

Erdős magic

Spencer, J. Jan 1 2013 The Mathematics of Paul Erdos I, Second Edition. Springer New York, p. 43-46 4 p.

Research output: ResearchChapter

Children

Isoclinism and stable cohomology of wreath products

Bogomolov, F. & Böhning, C. Jan 1 2013 Birational Geometry, Rational Curves, and Arithmetic. Springer New York, p. 57-76 20 p.

Research output: ResearchChapter

Wreath Product
Cohomology
Finite P-group
Subgroup
Finite Groups of Lie Type

Siple Coast Subglacial Aquatic Environments: The Whillans Ice Stream Subglacial Access Research Drilling Project

Fricker, H. A., Powell, R., Priscu, J., Tulaczyk, S., Anandakrishnan, S., Christner, B., Fisher, A. T., Holland, D., Horgan, H., Jacobel, R., Mikucki, J., Mitchell, A., Scherer, R. & Severinghaus, J. Mar 26 2013 Antarctic Subglacial Aquatic Environments. Wiley Blackwell, p. 199-219 21 p.

Research output: ResearchChapter

drilling
coasts
ice
water
land ice

Some Recent Tools and a BDDC Algorithm for 3D Problems in H(curl)

Dohrmann, C. R. & Widlund, O. B. 2013 Domain Decomposition Methods in Science and Engineering XX. Vol. 91, p. 15-25 11 p. (Lecture Notes in Computational Science and Engineering; vol. 91)

Research output: ResearchChapter

Curl
Decomposition
H-space
Domain Decomposition
Lemma

Stability Optimization for Polynomials and Matrices

Overton, M. L. Dec 31 2013 Nonlinear Physical Systems: Spectral Analysis, Stability and Bifurcations. Wiley Blackwell, p. 351-375 25 p.

Research output: ResearchChapter

Feedback Control
Optimization Problem
Polynomial
Optimization
Frequency Domain

The erdős existence argument

Spencer, J. Jan 1 2013 The Mathematics of Paul Erdos I, Second Edition. Springer New York, p. 435-444 10 p.

Research output: ResearchChapter

Probabilistic Methods
Lower bound
Methodology
Graph in graph theory
Knowledge

Unirationality and existence of infinitely transitive models

Bogomolov, F., Karzhemanov, I. & Kuyumzhiyan, K. Jan 1 2013 Birational Geometry, Rational Curves, and Arithmetic. Springer New York, p. 77-91 15 p.

Research output: ResearchChapter

Algebraic Variety
Model
Rational function
Automorphisms
Subgroup
2012

Multiscale theories for the MJO

Majda, A. J. & Stechmann, S. N. Jan 1 2012 Intraseasonal Variability in the Atmosphere-Ocean Climate System. Springer Berlin Heidelberg, p. 549-568 20 p.

Research output: ResearchChapter

Madden-Julian oscillation
standing wave
troposphere
convection
ocean

Super stable kählerian horseshoe?

Gromov, M. Jun 1 2012 Essays in Mathematics and its Applications: In Honor of Stephen Smale's 80th Birthday. Springer-Verlag Berlin Heidelberg, Vol. 9783642288210, p. 151-229 79 p.

Research output: ResearchChapter

Smale Horseshoe
Horseshoe
Jacobi
Trace
2011

Dynamics of complex biofluids

Hohenegger, C. & Shelley, M. J. Sep 22 2011 New Trends in the Physics and Mechanics of Biological Systems: Lecture Notes of the Les Houches Summer School: July 2009. Oxford University Press, Vol. 92

Research output: ResearchChapter

rods
fluid mechanics
isotropy
pumping
derivation

Eighty years of Ramsey R(3, k) … and counting!

Spencer, J. 2011 Progress in Mathematics. Springer Basel, Vol. 285, p. 27-39 13 p. (Progress in Mathematics; vol. 285)

Research output: ResearchChapter

Counting

Ewens measures on compact groups and hypergeometric kernels

Bourgade, P., Nikeghbali, A. & Rouault, A. 2011 Seminaire de Probabilites XLIII. Vol. 2006, p. 351-377 27 p. (Lecture Notes in Mathematics; vol. 2006)

Research output: ResearchChapter

Unitary group
Compact Group
kernel
Decompose
Ewens Sampling Formula

Siple Coast subglacial aquatic environments: The Whillans Ice Stream Subglacial Access Research Drilling Project

Fricker, H. A., Powell, R., Priscu, J., Tulaczyk, S., Anandakrishnan, S., Christner, B., Fisher, A. T., Holland, D., Horgan, H., Jacobel, R., Mikucki, J., Mitchell, A., Scherer, R. & Severinghaus, J. 2011 Antarctic Subglacial Aquatic Environments. American Geophysical Union, Vol. 192, p. 199-219 21 p. (Geophysical Monograph Series; vol. 192)

Research output: ResearchChapter

subglacial environment
ice stream
aquatic environment
drilling
coast

Stabilizing proteins while preserving primary sequences

Germain, P. & Kim, J. 2011 Research advances in protein engineering design and selection . Mohan, R. M. (ed.). Kerala, India: Global Research Network

Research output: ResearchChapter

The degree sequence of a scale-free random graph process

Bollobás, B., Riordan, O., Spencer, J. & Tusnády, G. Oct 23 2011 The Structure and Dynamics of Networks. Princeton University Press, p. 385-395 11 p.

Research output: ResearchChapter

Degree Sequence
Random Graphs
Power Law
Proportion
Directly proportional
2010

Glauber dynamics for spin systems at high and critical temperatures

Lubetzky, E. Jan 1 2010 XVIth International Congress on Mathematical Physics. World Scientific Publishing Co., p. 464-469 6 p.

Research output: ResearchChapter

Glauber Dynamics
Mixing Time
Spin Systems
Critical Temperature
critical temperature

Mathematical and physical modeling of actin dynamics in motile cells

Carlsson, A. E. & Mogilner, A. 2010 Actin-based Motility: Cellular, Molecular and Physical Aspects. Springer Netherlands, p. 381-412 32 p.

Research output: ResearchChapter

Actins
Cohort Effect
Pseudopodia
Actin Cytoskeleton

Population Density Methods in Large-Scale Neural Network Modelling

Tranchina, D. Feb 1 2010 Stochastic Methods in Neuroscience. Oxford University Press

Research output: ResearchChapter

Network Modeling
Neural Networks
Density Function
Computational Neuroscience
Dynamic Neural Networks

Unramified cohomology of finite groups of Lie type

Bogomolov, F., Petrov, T. & Tschinkel, Y. 2010 Progress in Mathematics. Springer Basel, Vol. 282, p. 55-73 19 p. (Progress in Mathematics; vol. 282)

Research output: ResearchChapter

Finite Groups of Lie Type
Cohomology

Vortex patterns in Ginzburg-Landau minimizers

Serfaty, S. & Sandier, E. Jan 1 2010 XVIth International Congress on Mathematical Physics. World Scientific Publishing Co., p. 246-264 19 p.

Research output: ResearchChapter

Ginzburg-Landau
Minimizer
Vortex
vortices
Energy
2009

Parallel and Adaptive Simulation of Cardiac Fluid Dynamics

Griffith, B. E., Hornung, R. D., Mcqueen, D. M. & Peskin, C. S. Dec 9 2009 Advanced Computational Infrastructures for Parallel and Distributed Adaptive Applications. John Wiley & Sons, Inc., p. 105-130 26 p.

Research output: ResearchChapter

2008

Characterization of the Radon-Nikodym property in terms of inverse limits

Cheeger, J. & Kleiner, B. Oct 2008 Differential Geometry, Mathematical Physics, Mathematics and Society Part 1. 321 ed. p. 129-138 10 p. (Asterisque; no. 321)

Research output: ResearchChapter

Radon-Nikodym Property
Inverse System
Inverse Limit
Asymptotic Properties

Kac functional and Schrödinger equation

Chung, K. L., Varadhan, S. R. S. & Chung, K. L. Jan 1 2008 Selected Works of Kai Lai Chung. World Scientific Publishing Co., p. 641-652 12 p.

Research output: ResearchChapter

Functional equation
Schrödinger Equation
Hitting Time
Markov Process
Path
2007

A BDDC Preconditioner for Saddle Point Problems

Li, J. & Widlund, O. 2007 Domain Decomposition Methods in Science and Engineering XVI. Vol. 55, p. 413-420 8 p. (Lecture Notes in Computational Science and Engineering; vol. 55)

Research output: ResearchChapter

Saddle Point Problems
Domain Decomposition
Preconditioner
Balancing
Decomposition

Chapter 3 Examples of singular limits in hydrodynamics

Masmoudi, N. 2007 Handbook of Differential Equations: Evolutionary Equations. Vol. 3, p. 195-275 81 p. (Handbook of Differential Equations: Evolutionary Equations; vol. 3)

Research output: ResearchChapter

Singular Limit
Hydrodynamics
Inviscid Limit
Incompressible Limit
Rotating Fluid

Chapter 5: The T1 and T2 representability conditions

Braams, B. J., Percus, J. K. & Zhao, Z. 2007 Reduced-Density-Matrix Mechanics With Application to Many-Electron Atoms and Molecules. Vol. 134, p. 93-101 9 p. (Advances in Chemical Physics; vol. 134)

Research output: ResearchChapter

Neumann-Neumann Algorithms (Two and Three Levels) for Finite Element Elliptic Problems with Discontinuous Coefficients on Fine Triangulation

Dryja, M. & Widlund, O. 2007 Domain Decomposition Methods in Science and Engineering XVI. Vol. 55, p. 357-364 8 p. (Lecture Notes in Computational Science and Engineering; vol. 55)

Research output: ResearchChapter

Discontinuous Coefficients
Elliptic Problems
Triangulation
Finite Element
Design

Short-range spin glasses: Results and speculations

Newman, C. M. & Stein, D. L. 2007 Spin Glasses. Vol. 1900, p. 159-175 17 p. (Lecture Notes in Mathematics; vol. 1900)

Research output: ResearchChapter

Speculation
Spin Glass
Scenarios
Range of data
Anderson Localization
2006

Transition path theory

Vanden-Eijnden, E. 2006 Computer Simulations in Condensed Matter Systems: From Materials to Chemical Biology Volume 1. Vol. 703, p. 453-493 41 p. (Lecture Notes in Physics; vol. 703)

Research output: ResearchChapter

trajectories
statistical mechanics
classical mechanics
readers
biology
2005

Bursting in excitatory neural networks

Tabak, J. & Rinzel, J. Jan 1 2005 Bursting: The Genesis of Rhythm in the Nervous System. World Scientific Publishing Co., p. 273-302 30 p.

Research output: ResearchChapter

Periodicity
Locomotion
Spinal Cord
Respiration

Couniformization of curves over number fields

Bogomolov, F. & Tschinkel, Y. 2005 Progress in Mathematics. Springer Basel, Vol. 235, p. 43-57 15 p. (Progress in Mathematics; vol. 235)

Research output: ResearchChapter

Number field
Correspondence
Curve