Edit Profile (opens in new tab) Day, Martin V. Co-Author Distance Author ID: day.martin-v Published as: Day, Martin V.; Day, Martin; Day, M. V. more...less External Links: MGP · Wikidata Documents Indexed: 34 Publications since 1980 Co-Authors: 8 Co-Authors with 8 Joint Publications 171 Co-Co-Authors all top 5 Co-Authors 25 single-authored 4 Ball, Joseph Anthony 2 Chudoung, Jerawan 2 Kachroo, Pushkin 1 Darden, Thomas A. 1 Farlow, Kasie G. 1 Melikyan, Arik Artavazdovich 1 Pang, Guodong 1 Yu, Tungsheng all top 5 Serials 8 Applied Mathematics and Optimization 3 Stochastics 2 SIAM Journal on Control and Optimization 2 SIAM Journal on Mathematical Analysis 1 Applicable Analysis 1 Journal of Mathematical Analysis and Applications 1 The Annals of Probability 1 Automatica 1 Journal of Applied Probability 1 Journal of Optimization Theory and Applications 1 Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete 1 Probability Theory and Related Fields 1 MCSS. Mathematics of Control, Signals, and Systems 1 Journal of Applied Mathematics and Stochastic Analysis 1 Stochastic Processes and their Applications 1 Stochastics and Stochastics Reports 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Systems, Estimation, and Control 1 Computational Optimization and Applications 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Applied Mathematics E-Notes all top 5 Fields 20 Probability theory and stochastic processes (60-XX) 12 Calculus of variations and optimal control; optimization (49-XX) 10 Systems theory; control (93-XX) 5 Ordinary differential equations (34-XX) 5 Partial differential equations (35-XX) 5 Operations research, mathematical programming (90-XX) 2 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 249 times in 159 Documents Cited by ▼ Year ▼ On the exponential exit law in the small parameter exit problem. Zbl 0504.60032 Day, Martin V. 45 1983 Recent progress on the small parameter exit problem. Zbl 0612.60067 Day, Martin V. 34 1987 Exponential leveling for stochastically perturbed dynamical systems. Zbl 0513.60077 Day, Martin 19 1982 Some regularity results on the Ventcel-Freidlin quasi-potential function. Zbl 0581.60044 Day, Martin V.; Darden, Thomas A. 17 1985 On the exit law from saddle points. Zbl 0845.60051 Day, Martin V. 13 1995 Large deviations results for the exit problem with characteristic boundary. Zbl 0780.60060 Day, Martin V. 12 1990 Conditional exits for small noise diffusions with characteristic boundary. Zbl 0780.60059 Day, Martin V. 11 1992 Mathematical approaches to the problem of noise-induced exit. Zbl 0922.60051 Day, Martin V. 11 1999 Cycling and skewing of exit measures for planar systems. Zbl 0828.60018 Day, Martin V. 10 1994 On Lagrange manifolds and viscosity solutions. Zbl 1130.49306 Day, Martin V. 8 1998 Regularity of boundary quasi-potentials for planar systems. Zbl 0810.49032 Day, Martin V. 7 1994 Exit cycling for the Van der Pol oscillator and quasipotential calculations. Zbl 0866.60055 Day, Martin V. 7 1996 On the asymptotic relation between equilibrium density and exit measure in the exit problem. Zbl 0526.60052 Day, Martin V. 6 1984 Some phenomena of the characteristic boundary exit problem. Zbl 0719.60082 Day, Martin V. 5 1990 Robust feedback control of a single server queueing system. Zbl 0940.93028 Ball, Joseph A.; Day, Martin V.; Kachroo, Pushkin 5 1999 Boundary local time and small parameter exit problems with characteristic boundaries. Zbl 0677.60060 Day, Martin V. 5 1989 Neumann-type boundary conditions for Hamilton-Jacobi equations in smooth domains. Zbl 1100.35027 Day, Martin V. 5 2006 Robust optimal switching control for nonlinear systems. Zbl 1042.49029 Ball, Joseph A.; Chudoung, Jerawan; Day, Martin V. 4 2002 Robust \(L_2\)-gain control for nonlinear systems with projection dynamics and input constraints: An example from traffic control. Zbl 0946.93015 Ball, Joseph A.; Day, Martin V.; Yu, Tungsheng; Kachroo, Pushkin 4 1999 Fluid limits of optimally controlled queueing networks. Zbl 1143.60057 Pang, Guodong; Day, Martin V. 4 2007 Boundary-influenced robust controls: two network examples. Zbl 1114.49029 Day, Martin V. 4 2006 Robust optimal service analysis of single-server re-entrant queues. Zbl 1161.90364 Day, Martin V.; Hall, J.; Menendez, J.; Potter, D.; Rothstein, I. 3 2002 Weak convergence and fluid limits in optimal time-to-empty queueing control problems. Zbl 1242.93142 Day, Martin V. 2 2011 On the velocity projection map for polyhedral Skorokhod problems. Zbl 1073.90050 Day, Martin V. 2 2005 A characterization of the reflected quasipotential. Zbl 1332.49031 Farlow, Kasie G.; Day, Martin V. 2 2015 The exterior sphere condition for the Ventcel-Freidlin quasi-potential function. Zbl 0624.60087 Day, Martin V. 1 1986 A uniqueness result for \(p\)-monotone viscosity solutions of Hamilton-Jacobi equations in bounded domains. Zbl 1176.49034 Day, Martin V. 1 2009 Comparison results for diffusions conditioned on positivity. Zbl 0528.60056 Day, Martin V. 1 1983 Simple singularities for Hamilton-Jacobi equations with max-concave Hamiltonians and generalized characteristics. Zbl 1295.49020 Day, M. V.; Melikyan, A. A. 1 2008 A characterization of the reflected quasipotential. Zbl 1332.49031 Farlow, Kasie G.; Day, Martin V. 2 2015 Weak convergence and fluid limits in optimal time-to-empty queueing control problems. Zbl 1242.93142 Day, Martin V. 2 2011 A uniqueness result for \(p\)-monotone viscosity solutions of Hamilton-Jacobi equations in bounded domains. Zbl 1176.49034 Day, Martin V. 1 2009 Simple singularities for Hamilton-Jacobi equations with max-concave Hamiltonians and generalized characteristics. Zbl 1295.49020 Day, M. V.; Melikyan, A. A. 1 2008 Fluid limits of optimally controlled queueing networks. Zbl 1143.60057 Pang, Guodong; Day, Martin V. 4 2007 Neumann-type boundary conditions for Hamilton-Jacobi equations in smooth domains. Zbl 1100.35027 Day, Martin V. 5 2006 Boundary-influenced robust controls: two network examples. Zbl 1114.49029 Day, Martin V. 4 2006 On the velocity projection map for polyhedral Skorokhod problems. Zbl 1073.90050 Day, Martin V. 2 2005 Robust optimal switching control for nonlinear systems. Zbl 1042.49029 Ball, Joseph A.; Chudoung, Jerawan; Day, Martin V. 4 2002 Robust optimal service analysis of single-server re-entrant queues. Zbl 1161.90364 Day, Martin V.; Hall, J.; Menendez, J.; Potter, D.; Rothstein, I. 3 2002 Mathematical approaches to the problem of noise-induced exit. Zbl 0922.60051 Day, Martin V. 11 1999 Robust feedback control of a single server queueing system. Zbl 0940.93028 Ball, Joseph A.; Day, Martin V.; Kachroo, Pushkin 5 1999 Robust \(L_2\)-gain control for nonlinear systems with projection dynamics and input constraints: An example from traffic control. Zbl 0946.93015 Ball, Joseph A.; Day, Martin V.; Yu, Tungsheng; Kachroo, Pushkin 4 1999 On Lagrange manifolds and viscosity solutions. Zbl 1130.49306 Day, Martin V. 8 1998 Exit cycling for the Van der Pol oscillator and quasipotential calculations. Zbl 0866.60055 Day, Martin V. 7 1996 On the exit law from saddle points. Zbl 0845.60051 Day, Martin V. 13 1995 Cycling and skewing of exit measures for planar systems. Zbl 0828.60018 Day, Martin V. 10 1994 Regularity of boundary quasi-potentials for planar systems. Zbl 0810.49032 Day, Martin V. 7 1994 Conditional exits for small noise diffusions with characteristic boundary. Zbl 0780.60059 Day, Martin V. 11 1992 Large deviations results for the exit problem with characteristic boundary. Zbl 0780.60060 Day, Martin V. 12 1990 Some phenomena of the characteristic boundary exit problem. Zbl 0719.60082 Day, Martin V. 5 1990 Boundary local time and small parameter exit problems with characteristic boundaries. Zbl 0677.60060 Day, Martin V. 5 1989 Recent progress on the small parameter exit problem. Zbl 0612.60067 Day, Martin V. 34 1987 The exterior sphere condition for the Ventcel-Freidlin quasi-potential function. Zbl 0624.60087 Day, Martin V. 1 1986 Some regularity results on the Ventcel-Freidlin quasi-potential function. Zbl 0581.60044 Day, Martin V.; Darden, Thomas A. 17 1985 On the asymptotic relation between equilibrium density and exit measure in the exit problem. Zbl 0526.60052 Day, Martin V. 6 1984 On the exponential exit law in the small parameter exit problem. Zbl 0504.60032 Day, Martin V. 45 1983 Comparison results for diffusions conditioned on positivity. Zbl 0528.60056 Day, Martin V. 1 1983 Exponential leveling for stochastically perturbed dynamical systems. Zbl 0513.60077 Day, Martin 19 1982 all cited Publications top 5 cited Publications all top 5 Cited by 216 Authors 16 Day, Martin V. 9 Bakhtin, Yuri Yu. 6 Nectoux, Boris 6 Yi, Yingfei 5 Imkeller, Peter 5 Pavlyukevich, Ilya 4 Le Peutrec, Dorian 4 Lelièvre, Tony 3 Barrera, Gerardo 3 Befekadu, Getachew K. 3 Berglund, Nils 3 Biswas, Anup 3 Borkar, Vivek Shripad 3 Gentz, Barbara 3 Högele, Michael Anton 3 Li, Yao 3 Medvedev, Georgi S. 3 Mikami, Toshio 3 Piunovskiĭ, Alekseĭ Borisovich 3 Spiliopoulos, Konstantinos V. 3 Zhang, Yi 2 Antsaklis, Panos J. 2 Banks, Stephen Paul 2 Bashkirtseva, Irina Adol’fovna 2 Bayraktar, Erhan 2 Bouchet, Freddy 2 Chen, Hongbin 2 Di Gesù, Giacomo 2 Dupuis, Paul G. 2 Dykman, Mark I. 2 Eizenberg, Alexander 2 Freidlin, Mark I. 2 Hening, Alexandru 2 Herrmann, Samuel 2 Holcman, David 2 Jara, Milton D. 2 Kepgnou, Brice Samegni 2 Koralov, Leonid B. 2 Landim, Claudio 2 Martinelli, Fabio 2 Melikyan, Arik Artavazdovich 2 Pajor-Gyulai, Zsolt 2 Pardoux, Etienne 2 Poquet, Christophe 2 Qi, Weiwei 2 Ryashko, Lev Borisovich 2 Salins, Michael 2 Scoppola, Elisabetta 2 Smelyanskiy, Vadim N. 2 Zhuravytska, Svitlana 1 Almada Monter, Sergio Angel 1 Arapostathis, Aristotle 1 Aristoff, David 1 Ashwin, Peter 1 Atar, Rami 1 Aurzada, Frank 1 Avrachenkov, Konstantin Evgen’evich 1 Baek, Yongjoo 1 Bagagiolo, Fabio 1 Ball, Joseph Anthony 1 Bardi, Martino 1 Barker, Blake 1 Benetton, Michela 1 Bertini, Lorenzo Bertini 1 Betz, Volker 1 Bhaskaran, Rajeev 1 Bobrovsky, Ben-Zion 1 Bodineau, Thierry 1 Brassesco, Stella 1 Budhiraja, Amarjit S. 1 Calzola, Elisa 1 Cannarsa, Piermarco 1 Carlini, Elisabetta 1 Chaudru De Raynal, Paul-Eric 1 Chen, Guanggan 1 Chen, Yuxin 1 Cho, Inkoo 1 Chudoung, Jerawan 1 Comtet, Alain 1 Cornu, Françoise 1 Correll, Joshua 1 Dabrowski, Ludwik 1 Darden, Thomas A. 1 De Sole, Alberto 1 Deng, Weihua 1 Duc, K. Dao 1 Duong, Manh Hong 1 Dupuis, Xavier 1 Dwivedi, Gaurav 1 E, Weinan 1 Eckhoff, Michael 1 Ekaterinchuk, Ekaterina 1 Farlow, Kasie G. 1 Ferreyra, Guillermo S. 1 Fleming, Wendell Helms 1 Fleurantin, Emmanuel 1 Frankowska, Hélène 1 Gaál, Alexisz Tamás 1 Gabrielli, Davide 1 Gasteratos, Ioannis ...and 116 more Authors all top 5 Cited in 77 Serials 10 Journal of Statistical Physics 8 Stochastic Processes and their Applications 7 The Annals of Probability 7 Journal of Differential Equations 7 The Annals of Applied Probability 6 Journal of Mathematical Analysis and Applications 6 Applied Mathematics and Optimization 5 Stochastics and Dynamics 4 Stochastic Analysis and Applications 3 Communications on Pure and Applied Mathematics 3 Stochastics 3 Systems & Control Letters 3 Probability Theory and Related Fields 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 3 Stochastic Systems 2 Biological Cybernetics 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Automatica 2 SIAM Journal on Control and Optimization 2 Journal of Dynamics and Differential Equations 2 Annales Henri Poincaré 2 SIAM Journal on Applied Dynamical Systems 2 Multiscale Modeling & Simulation 2 Journal of Physics A: Mathematical and Theoretical 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 Advances in Applied Probability 1 Archive for Rational Mechanics and Analysis 1 Journal of Applied Mathematics and Mechanics 1 Journal of the Franklin Institute 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Nonlinearity 1 Physics Letters. A 1 Bulletin of Mathematical Biology 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Applied Mathematics and Computation 1 Journal of Applied Probability 1 Journal of Mathematical Psychology 1 Journal of Optimization Theory and Applications 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Theoretical Population Biology 1 Transactions of the American Mathematical Society 1 Moscow University Computational Mathematics and Cybernetics 1 Statistics & Probability Letters 1 Probability and Mathematical Statistics 1 Acta Applicandae Mathematicae 1 Physica D 1 Computers & Operations Research 1 Journal of Economic Dynamics & Control 1 Journal of Theoretical Probability 1 Queueing Systems 1 Journal of Applied Mathematics and Stochastic Analysis 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 1 Stochastics and Stochastics Reports 1 International Journal of Robust and Nonlinear Control 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Discrete and Continuous Dynamical Systems 1 Journal of Mathematical Chemistry 1 Mathematical Finance 1 Mathematical Methods of Operations Research 1 Chaos 1 Journal of Statistical Mechanics: Theory and Experiment 1 ALEA. Latin American Journal of Probability and Mathematical Statistics 1 Advances in Operations Research 1 Journal of Theoretical Biology 1 Journal of Dynamics and Games 1 Nonlinear Analysis. Theory, Methods & Applications 1 Annals of PDE 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Probability and Mathematical Physics all top 5 Cited in 21 Fields 103 Probability theory and stochastic processes (60-XX) 34 Partial differential equations (35-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 25 Ordinary differential equations (34-XX) 23 Systems theory; control (93-XX) 22 Dynamical systems and ergodic theory (37-XX) 21 Biology and other natural sciences (92-XX) 15 Statistical mechanics, structure of matter (82-XX) 10 Operations research, mathematical programming (90-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Numerical analysis (65-XX) 5 Global analysis, analysis on manifolds (58-XX) 3 Potential theory (31-XX) 3 Differential geometry (53-XX) 3 Computer science (68-XX) 3 Mechanics of particles and systems (70-XX) 3 Geophysics (86-XX) 2 Statistics (62-XX) 2 Quantum theory (81-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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