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Author ID: merkl.franz Recent zbMATH articles by "Merkl, Franz"
Published as: Merkl, Franz; Merkl, F.

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 217 times in 130 Documents Cited by Year
Computational aspects of modular forms and Galois representations. How one can compute in polynomial time the value of Ramanujan’s tau at a prime. Zbl 1216.11004
21
2011
A zero-one law for planar random walks in random environment. Zbl 1016.60093
Zerner, Martin P. W.; Merkl, Franz
19
2001
Recurrence of edge-reinforced random walk on a two-dimensional graph. Zbl 1180.82085
Merkl, Franz; Rolles, Silke W. W.
15
2009
Moderate deviations for longest increasing subsequences: The upper tail. Zbl 1033.60035
Löwe, Matthias; Merkl, Franz
15
2001
Moderate deviations for longest increasing subsequences: The lower tail. Zbl 1011.60007
Löwe, Matthias; Merkl, Franz; Rolles, Silke
13
2002
Linearly edge-reinforced random walks. Zbl 1125.82014
Merkl, Franz; Rolles, Silke W. W.
12
2006
Time-evolution of the external field problem in quantum electrodynamics. Zbl 1314.81164
Deckert, D.-A.; Dürr, D.; Merkl, F.; Schottenloher, M.
11
2010
Reconstructing a multicolor random scenery seen along a random walk path with bounded jumps. Zbl 1064.60201
Löwe, Matthias; Matzinger, Heinrich; Merkl, Franz
10
2004
Edge-reinforced random walk on a ladder. Zbl 1102.82010
Merkl, Franz; Rolles, Silke W. W.
9
2005
A random environment for linearly edge-reinforced random walks on infinite graphs. Zbl 1116.60060
Merkl, Franz; Rolles, Silke W. W.
8
2007
Spontaneous breaking of continuous rotational symmetry in two dimensions. Zbl 1191.60115
Merkl, Franz; Rolles, Silke W. W.
8
2009
A supersymmetric approach to martingales related to the vertex-reinforced jump process. Zbl 1364.60068
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
8
2017
Edge-reinforced random walk on one-dimensional periodic graphs. Zbl 1186.82039
Merkl, Franz; Rolles, Silke W. W.
7
2009
Spontaneous breaking of rotational symmetry in the presence of defects. Zbl 1307.60142
Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
7
2014
Asymptotic behavior of edge-reinforced random walks. Zbl 1206.82082
Merkl, Franz; Rolles, Silke W. W.
6
2007
Bounding a random environment bounding a random environment for two-dimensional edge-reinforced random walk. Zbl 1187.82051
Merkl, Franz; Rolles, Silke W. W.
6
2008
Infinite volume asymptotics of the ground state energy in a scaled Poissonian potential. Zbl 0996.82036
Merkl, Franz; Wüthrich, Mario V.
5
2002
Dirac equation with external potential and initial data on Cauchy surfaces. Zbl 1303.81075
Deckert, D.-A.; Merkl, F.
5
2014
Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model. Zbl 1411.60147
Merkl, Franz; Rolles, Silke W. W.; Tarrès, Pierre
4
2019
Recurrent random walks and the absence of continuous symmetry breaking on graphs. Zbl 0828.60055
Merkl, Franz; Wagner, Herbert
4
1994
External field QED on Cauchy surfaces for varying electromagnetic fields. Zbl 1350.81031
Deckert, D.-A.; Merkl, F.
4
2016
Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes. Zbl 1307.82013
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
4
2014
Phase transition of the principal Dirichlet eigenvalue in a scaled Poissonian potential. Zbl 1037.82022
Merkl, Franz; Wüthrich, Mario V.
3
2001
A comparison of a nonlinear sigma model with general pinning and pinning at one point. Zbl 1336.60097
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
3
2016
The ’magic formula’ for linearly edge-reinforced random walks. Zbl 1146.60308
Merkl, Franz; Öry, Aniko; Rolles, Silke W. W.
3
2008
Annealed survival asymptotics for Brownian motion in a scaled Poissonian potential. Zbl 1062.82022
Merkl, Franz; Wüthrich, Mario V.
2
2001
Dislocation lines in three-dimensional solids at low temperature. Zbl 1479.60189
Bauerschmidt, Roland; Conache, Diana; Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
2
2019
Quenched asymptotics of the ground state energy of random Schrödinger operators with scaled Gibbsian potentials. Zbl 1106.82016
Merkl, Franz
1
2003
Martingales and some generalizations arising from the supersymmetric hyperbolic sigma model. Zbl 1405.60070
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
1
2019
Correlation inequalities for edge-reinforced random walk. Zbl 1243.60018
Merkl, Franz; Rolles, Silke W. W.
1
2011
Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model. Zbl 1411.60147
Merkl, Franz; Rolles, Silke W. W.; Tarrès, Pierre
4
2019
Dislocation lines in three-dimensional solids at low temperature. Zbl 1479.60189
Bauerschmidt, Roland; Conache, Diana; Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
2
2019
Martingales and some generalizations arising from the supersymmetric hyperbolic sigma model. Zbl 1405.60070
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
1
2019
A supersymmetric approach to martingales related to the vertex-reinforced jump process. Zbl 1364.60068
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
8
2017
External field QED on Cauchy surfaces for varying electromagnetic fields. Zbl 1350.81031
Deckert, D.-A.; Merkl, F.
4
2016
A comparison of a nonlinear sigma model with general pinning and pinning at one point. Zbl 1336.60097
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
3
2016
Spontaneous breaking of rotational symmetry in the presence of defects. Zbl 1307.60142
Heydenreich, Markus; Merkl, Franz; Rolles, Silke W. W.
7
2014
Dirac equation with external potential and initial data on Cauchy surfaces. Zbl 1303.81075
Deckert, D.-A.; Merkl, F.
5
2014
Localization for a nonlinear sigma model in a strip related to vertex reinforced jump processes. Zbl 1307.82013
Disertori, Margherita; Merkl, Franz; Rolles, Silke W. W.
4
2014
Computational aspects of modular forms and Galois representations. How one can compute in polynomial time the value of Ramanujan’s tau at a prime. Zbl 1216.11004
21
2011
Correlation inequalities for edge-reinforced random walk. Zbl 1243.60018
Merkl, Franz; Rolles, Silke W. W.
1
2011
Time-evolution of the external field problem in quantum electrodynamics. Zbl 1314.81164
Deckert, D.-A.; Dürr, D.; Merkl, F.; Schottenloher, M.
11
2010
Recurrence of edge-reinforced random walk on a two-dimensional graph. Zbl 1180.82085
Merkl, Franz; Rolles, Silke W. W.
15
2009
Spontaneous breaking of continuous rotational symmetry in two dimensions. Zbl 1191.60115
Merkl, Franz; Rolles, Silke W. W.
8
2009
Edge-reinforced random walk on one-dimensional periodic graphs. Zbl 1186.82039
Merkl, Franz; Rolles, Silke W. W.
7
2009
Bounding a random environment bounding a random environment for two-dimensional edge-reinforced random walk. Zbl 1187.82051
Merkl, Franz; Rolles, Silke W. W.
6
2008
The ’magic formula’ for linearly edge-reinforced random walks. Zbl 1146.60308
Merkl, Franz; Öry, Aniko; Rolles, Silke W. W.
3
2008
A random environment for linearly edge-reinforced random walks on infinite graphs. Zbl 1116.60060
Merkl, Franz; Rolles, Silke W. W.
8
2007
Asymptotic behavior of edge-reinforced random walks. Zbl 1206.82082
Merkl, Franz; Rolles, Silke W. W.
6
2007
Linearly edge-reinforced random walks. Zbl 1125.82014
Merkl, Franz; Rolles, Silke W. W.
12
2006
Edge-reinforced random walk on a ladder. Zbl 1102.82010
Merkl, Franz; Rolles, Silke W. W.
9
2005
Reconstructing a multicolor random scenery seen along a random walk path with bounded jumps. Zbl 1064.60201
Löwe, Matthias; Matzinger, Heinrich; Merkl, Franz
10
2004
Quenched asymptotics of the ground state energy of random Schrödinger operators with scaled Gibbsian potentials. Zbl 1106.82016
Merkl, Franz
1
2003
Moderate deviations for longest increasing subsequences: The lower tail. Zbl 1011.60007
Löwe, Matthias; Merkl, Franz; Rolles, Silke
13
2002
Infinite volume asymptotics of the ground state energy in a scaled Poissonian potential. Zbl 0996.82036
Merkl, Franz; Wüthrich, Mario V.
5
2002
A zero-one law for planar random walks in random environment. Zbl 1016.60093
Zerner, Martin P. W.; Merkl, Franz
19
2001
Moderate deviations for longest increasing subsequences: The upper tail. Zbl 1033.60035
Löwe, Matthias; Merkl, Franz
15
2001
Phase transition of the principal Dirichlet eigenvalue in a scaled Poissonian potential. Zbl 1037.82022
Merkl, Franz; Wüthrich, Mario V.
3
2001
Annealed survival asymptotics for Brownian motion in a scaled Poissonian potential. Zbl 1062.82022
Merkl, Franz; Wüthrich, Mario V.
2
2001
Recurrent random walks and the absence of continuous symmetry breaking on graphs. Zbl 0828.60055
Merkl, Franz; Wagner, Herbert
4
1994
all top 5

Cited by 152 Authors

13 Merkl, Franz
12 Rolles, Silke W. W.
9 Sabot, Christophe
7 Tarrès, Pierre
6 Disertori, Margherita
6 Löwe, Matthias
5 Matzinger, Heinrich III
4 Basu, Riddhipratim
4 Deckert, Dirk-André
4 Tumulka, Roderich
3 Bauerschmidt, Roland
3 Berger, Noam
3 Collevecchio, Andrea
3 Drewitz, Alexander
3 Eichelsbacher, Peter
3 Kozma, Gady
3 Nickel, Lukas
3 Raimond, Olivier
3 Ramírez, Alejandro F.
3 Schapira, Bruno
3 Spencer, Thomas C.
3 Tournier, Laurent
3 Zeng, Xiaolin
2 Biskup, Marek
2 Crawford, Nicholas
2 Dereziński, Jan
2 Finster, Felix
2 Ganguly, Shirshendu
2 Hammond, Alan
2 Helmuth, Tyler
2 Holmes, Mark P.
2 König, Wolfgang Dieter
2 Kriecherbauer, Thomas
2 Lill, Sascha
2 Limic, Vlada
2 Richthammer, Thomas
2 Sarkar, Sourav
2 Sidoravicius, Vladas
2 Sly, Allan
2 Swan, Andrew W.
2 Takei, Masato
2 Theil, Florian
2 Zeitouni, Ofer
2 Zerner, Martin P. W.
1 Adams, Stefan
1 Akahori, Jirô
1 Angel, Omer
1 Antinucci, Giovanni
1 Astrauskas, Arvydas
1 Aumann, Simon
1 Bacallado, Sergio
1 Bachmat, Eitan
1 Barraquand, Guillaume
1 Benaïm, Michel
1 Benjamini, Itai
1 Blondel, Oriane
1 Bolthausen, Erwin
1 Bramson, Maury D.
1 Bruss, Franz Thomas
1 Chiaselotti, Giampiero
1 Chouk, Khalil
1 Comets, Francis M.
1 Conache, Diana
1 Corwin, Ivan Z.
1 Cotar, Codina
1 Delbaen, Freddy
1 den Hollander, Frank
1 Dereudre, David
1 Diehl, H. W.
1 Dimitrov, Evgeni I.
1 Drouilhet, Rémy
1 Dybalski, Wojciech
1 Engländer, János
1 Esfeld, Michael
1 Eyers, Michael
1 Favaro, Stefano
1 Finucane, Hilary K.
1 Foss, Sergey G.
1 Fresta, Luca
1 Gaál, Alexisz Tamás
1 Gairing, Jan M.
1 Gentile, Tommaso
1 Georgii, Hans-Otto
1 Gerard, Thomas
1 Giuliani, Alessandro
1 Goergen, Laurent
1 Gómez, Ricardo
1 Guo, Xiaoqin
1 Hart, Andrew G.
1 Hegde, Milind
1 Heydenreich, Markus
1 Hilário, Marcelo Richard
1 Hildebrand, Martin V.
1 Hirsch, Christian
1 Hoffman, Christopher
1 Hong, Wenming
1 Houdré, Christian
1 Infusino, Federico G.
1 Jalowy, Jonas
1 Kannan, Devika
...and 52 more Authors
all top 5

Cited in 44 Serials

17 The Annals of Probability
14 Probability Theory and Related Fields
11 Stochastic Processes and their Applications
9 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
8 Communications in Mathematical Physics
6 Journal of Mathematical Physics
6 Journal of Statistical Physics
6 Annales Henri Poincaré
4 Electronic Journal of Probability
4 Electronic Communications in Probability
3 Letters in Mathematical Physics
3 Journal of Theoretical Probability
3 The Annals of Applied Probability
2 Israel Journal of Mathematics
2 ALEA. Latin American Journal of Probability and Mathematical Statistics
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 Communications on Pure and Applied Mathematics
1 Theoretical and Mathematical Physics
1 The Annals of Statistics
1 Duke Mathematical Journal
1 Illinois Journal of Mathematics
1 Journal of Applied Probability
1 Journal of Multivariate Analysis
1 Statistics & Probability Letters
1 Stochastic Analysis and Applications
1 Acta Mathematicae Applicatae Sinica. English Series
1 Algorithmica
1 Journal of the American Mathematical Society
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Bernoulli
1 ELA. The Electronic Journal of Linear Algebra
1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
1 Journal of the European Mathematical Society (JEMS)
1 Acta Mathematica Sinica. English Series
1 Journal of High Energy Physics
1 Brazilian Journal of Probability and Statistics
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Bulletin of the Brazilian Mathematical Society. New Series
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
1 Science China. Mathematics
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 Quanta

Citations by Year