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Zagrebnov, Valentin A.

Author ID: zagrebnov.valentin-a Recent zbMATH articles by "Zagrebnov, Valentin A."
Published as: Zagrebnov, V. A.; Zagrebnov, Valentin A.; Zagrebnov, Valentin; Zagrebnov, V.; Zabgrebnov, Valentin A.
External Links: MGP · ResearchGate
all top 5

Co-Authors

31 single-authored
31 Neidhardt, Hagen
24 Verbeure, André F.
13 Pulé, Joseph V.
10 Angelescu, Nicolae
10 Exner, Pavel
9 Ruiz, Jean
9 Tamura, Hiroshi
8 Bru, Jean-Bernard
7 Minlos, Robert Adol’fovich
6 Cachia, Vincent
6 Ichinose, Takashi
4 Bleher, Pavel M.
4 Cornean, Horia D.
4 Nachtergaele, Bruno
4 Patrick, A. E.
4 Romano, Silvano
4 Stephan, Artur
4 Wreszinski, Walter F.
3 Bentosela, François
3 Georgii, Hans-Otto
3 Jaeck, Thomas
3 Pechersky, Eugene A.
3 Shlosman, Senya B.
2 Amaro de Matos, J. M. G.
2 Arlins’kyĭ, Yuriĭ Moĭseĭovych
2 Baydoun, Ibrahim
2 Behn, Ulrich
2 Bogolyubov, Nikolaĭ Nikolaevich
2 Frolov, Valeri P.
2 Gruber, Christian
2 Iochum, Bruno
2 Kühn, Reimer
2 Lauwers, Joost
2 Malyshev, Vadim Aleksandrovich
2 Miracle-Sole, Salvador
2 Plakida, Nikolay M.
2 Poghosyan, Suren K.
2 Seiringer, Robert
2 Sinaĭ, Yakov Grigor’evich
2 Sukhanov, A. D.
2 van Enter, Aernout C. D.
2 van Hemmen, J. Leo
2 Vershynina, Anna
2 Volovich, Igor’ Vasil’evich
2 Vuillermot, Pierre-A.
2 Wilhelm, Lukas
2 Yngvason, Jakob
2 Zhizhina, Elena Anatol’evna
1 Behrndt, Jussi
1 Bogolyubov, Nikolaĭ Nikolaevich jun.
1 Boldrighini, Carlo
1 Brankov, I. G.
1 Briet, Philippe
1 Cavalcanti, R. M.
1 Chayes, Lincoln
1 Combes, Jean-Michel
1 Demuth, Michael
1 Eksner, P.
1 Gandolfo, Daniel
1 Gianesello, Céline
1 Ivanov, Evgeniĭ Alekseevich
1 Joussot, Patrice
1 Kazakov, Dmitri I.
1 Kondratiev, Yu. M.
1 Kurbatov, A. M.
1 Lenoble, Olivier
1 Malamud, Mark M.
1 Momont, B.
1 Nakhapetian, B. S.
1 Nechaev, Sergeĭ Konstantinovich
1 Pastur, Leonid Andreevich
1 Pellegrinotti, Alessandro
1 Picco, Pierre
1 Pirogov, Sergeĭ A.
1 Povolotsky, A. M.
1 Rassias, Themistocles Michael
1 Rebenko, Alexei L.
1 Schlein, Benjamin
1 Schonmann, Roberto Henrique
1 Simon, Barry
1 Sims, Robert L.
1 Sirugue-Collin, Madeleine
1 Spiridonov, Vyacheslav Pavlovich
1 Starr, Shannon L.
1 Tamura, Hideo
1 Tareeva, E. E.
1 Tater, Miloš
1 ter Elst, Antonius Frederik Maria
1 Vandevenne, Lieselot
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Serials

25 Journal of Statistical Physics
16 Journal of Mathematical Physics
16 Journal of Physics A: Mathematical and General
8 Communications in Mathematical Physics
8 Theoretical and Mathematical Physics
8 Integral Equations and Operator Theory
7 Reviews in Mathematical Physics
7 Journal of Functional Analysis
4 European Mathematical Society Newsletter
4 Markov Processes and Related Fields
3 Annales Henri Poincaré
3 Journal of Physical Studies
3 Journal of Physics A: Mathematical and Theoretical
3 Operator Theory: Advances and Applications
2 Letters in Mathematical Physics
2 Physics Letters. A
2 Journal of Statistical Mechanics: Theory and Experiment
2 Journal of Mathematical Physics, Analysis, Geometry
1 Journal of Mathematical Analysis and Applications
1 Physics Reports
1 Reports on Mathematical Physics
1 Teoreticheskaya i Matematicheskaya Fizika
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Nachrichten
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Journal of Operator Theory
1 Physica D
1 Annales de l’Institut Henri Poincaré. Physique Théorique
1 Annalen der Physik, VII. Folge
1 Advances in Differential Equations
1 Izvestiya: Mathematics
1 Network: Computation in Neural Systems
1 Dinamicheskie Sistemy (Simferopol’)
1 Moscow Mathematical Journal
1 Leuven Notes in Mathematical and Theoretical Physics
1 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny
1 Discontinuity, Nonlinearity, and Complexity
1 Nanosystems. Physics, Chemistry, Mathematics
1 Springer Optimization and Its Applications

Publications by Year

Citations contained in zbMATH Open

123 Publications have been cited 914 times in 555 Documents Cited by Year
On the purity of the limiting Gibbs state for the Ising model on the Bethe lattice. Zbl 1081.82515
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
109
1995
The Bogoliubov model of weakly imperfect Bose gas. Zbl 0971.82006
Zagrebnov, V. A.; Bru, J.-B.
60
2001
Potential approximations to \(\delta'\): an inverse Klauder phenomenon with norm-resolvent convergence. Zbl 1161.81375
Exner, Pavel; Neidhardt, Hagen; Zagrebnov, Valentin A.
29
2002
Trotter-Kato product formula and operator-norm convergence. Zbl 0949.47019
Neidhardt, H.; Zagrebnov, V. A.
25
1999
Phase transitions and algebra of fluctuation operators in an exactly soluble model of a quantum anharmonic crystal. Zbl 0888.46054
Verbeure, A.; Zagrebnov, V. A.
22
1992
Linear non-autonomous Cauchy problems and evolution semigroups. Zbl 1180.35371
Neidhardt, Hagen; Zagrebnov, Valentin A.
20
2009
On error estimates for the Trotter-Kato product formula. Zbl 0998.47021
Neidhardt, H.; Zagrebnov, V. A.
19
1998
A quantum crystal model in the light-mass limit: Gibbs states. Zbl 0976.82010
Minlos, R. A.; Verbeure, A.; Zagrebnov, V. A.
17
2000
Operator-norm approximation of semigroups by quasi-sectorial contractions. Zbl 0981.47015
Cachia, Vincent; Zagrebnov, Valentin A.
17
2001
Random infinite-volume Gibbs states for the Curie-Weiss random field Ising model. Zbl 0925.60127
Amaro de Matos, J. M. G.; Patrick, A. E.; Zagrebnov, V. A.
16
1992
Note on the paper: “The norm convergence of the Trotter–Kato product formula with error bound” by T. Ichinose and H. Tamura. Zbl 1059.47506
Ichinose, Takashi; Tamura, Hideo; Tamura, Hiroshi; Zagrebnov, Valentin A.
16
2001
A model with coexistence of two kinds of Bose condensation. Zbl 0957.82001
Bru, J.-B.; Zagrebnov, V. A.
14
2000
No-go theorem for quantum structural phase transitions. Zbl 0871.46043
Verbeure, A.; Zagrebnov, V. A.
13
1995
Lower spectral branches of a particle coupled to a Bose field. Zbl 1086.81040
Angelescu, Nicolae; Minlos, Robert A.; Zagrebnov, Valentin A.
13
2005
On the phase diagram of the random field Ising model on the Bethe lattice. Zbl 0963.82023
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
13
1998
On the existence of the dynamics for anharmonic quantum oscillator systems. Zbl 1187.82071
Nachtergaele, Bruno; Schlein, Benjamin; Sims, Robert; Starr, Shannon; Zagrebnov, Valentin
13
2010
Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics. Zbl 1244.82044
Nachtergaele, Bruno; Vershynina, Anna; Zagrebnov, Valentin A.
12
2011
Rigidity of the critical phases on a Cayley tree. Zbl 0998.60022
Bleher, P.; Schonmann, R. H.; Shlosman, S.; Zagrebnov, V.
12
2001
Bose-Einstein condensation in the Luttinger-Sy model. Zbl 1181.82005
Lenoble, O.; Zagrebnov, V. A.
11
2007
Numerical range and quasi-sectorial contractions. Zbl 1189.47007
Arlinskiĭ, Yury; Zagrebnov, Valentin
11
2010
Trotter–Kato product formula and fractional powers of self-adjoint generators. Zbl 1066.47038
Ichinose, Takashi; Neidhardt, Hagen; Zagrebnov, Valentin A.
11
2004
Gibbs semigroups. Zbl 1512.47004
Zagrebnov, Valentin A.
11
2019
A general Trotter–Kato formula for a class of evolution operators. Zbl 1173.47026
Vuillermot, Pierre-A.; Wreszinski, Walter F.; Zagrebnov, Valentin A.
11
2009
The Trotter-Kato product formula for Gibbs semigroups. Zbl 0717.47011
Neidhardt, Hagen; Zagrebnov, Valentin A.
10
1990
Mean-field theory of the Potts gas. Zbl 1105.82005
Georgii, Hans-Otto; Miracle-Sole, Salvador; Ruiz, Jean; Zagrebnov, Valentin A.
10
2006
Berezinskij-Kosterlitz-Thouless order in two-dimensional \(O(2)\)-ferrofluid. Zbl 1001.82042
Gruber, Christian; Tamura, Hiroshi; Zagrebnov, Valentin A.
10
2002
Topics in the theory of Gibbs semigroups. Zbl 1031.47002
Zagrebnov, Valentin A.
10
2003
On Bogoliubov’s model of superfluidity. Zbl 0800.82028
Angelescu, N.; Verbeure, A.; Zagrebnov, V. A.
9
1992
Trotter-Kato product formula and symmetrically normed ideals. Zbl 0953.47047
Neidhardt, H.; Zagrebnov, V. A.
9
1999
Anomalous electron trapping by localized magnetic fields. Zbl 1055.81522
Bentosela, F.; Cavalcanti, R. M.; Exner, P.; Zagrebnov, V. A.
9
1999
Fractional powers of self-adjoint operators and Trotter-Kato product formula. Zbl 0945.47030
Neidhardt, Hagen; Zagrebnov, Valentin A.
9
1999
Quasi-sectorial contractions. Zbl 1146.47028
Zagrebnov, Valentin A.
9
2008
Operator-norm convergence of the Trotter product formula for holomorphic semigroups. Zbl 1015.47022
Cachia, Vincent; Zabgrebnov, Valentin A.
9
2001
Around the Van Daele-Schmüdgen theorem. Zbl 1320.47023
Arlinskiĭ, Yury; Zagrebnov, Valentin A.
8
2015
The effect of time-dependent coupling on non-equilibrium steady states. Zbl 1213.82073
Cornean, Horia D.; Neidhardt, Hagen; Zagrebnov, Valentin A.
8
2009
Dynamics of quantum fluctuations in an anharmonic crystal model. Zbl 1106.82332
Verbeure, A.; Zagrebnov, V. A.
7
1995
Proof of Bose-Einstein condensation for interacting gases with a one-particle spectral gap. Zbl 1042.82003
Lauwers, J.; Verbeure, A.; Zagrebnov, V. A.
7
2003
Zeno product formula revisited. Zbl 1119.47016
Exner, Pavel; Ichinose, Takashi; Neidhardt, Hagen; Zagrebnov, Valentin A.
7
2007
On nonhomogeneous Bose condensation. Zbl 1110.82005
Pulé, Joseph V.; Verbeure, André F.; Zagrebnov, Valentin A.
7
2005
Accretive perturbations and error estimates for the Trotter product formula. Zbl 0996.47047
Cachia, Vincent; Neidhardt, Hagen; Zagrebnov, Valentin A.
7
2001
Convergence rate estimates for Trotter product approximations of solution operators for non-autonomous Cauchy problems. Zbl 1450.34041
Neidhardt, Hagen; Stephan, Artur; Zagrebnov, Valentin A.
7
2020
Regularization and convergence for singular perturbations. Zbl 0786.47014
Neidhardt, H.; Zagrebnov, V. A.
6
1992
Perturbations of Gibbs semigroups. Zbl 0668.47032
Zagrebnov, V. A.
6
1989
Disordered Bose Einstein condensates with interaction. Zbl 1302.81097
Seiringer, R.; Yngvason, J.; Zagrebnov, V. A.
6
2014
Non-equilibrium states of a photon cavity pumped by an atomic beam. Zbl 1298.81510
Nachtergaele, Bruno; Vershynina, Anna; Zagrebnov, Valentin A.
6
2014
The approximating Hamiltonian method in statistical physics. (Metod approksimiruyushchego gamil’toniana v statisticheskoj fizike). Zbl 0469.70021
Bogolyubov, N. N. jun.; Brankov, J. G.; Zagrebnov, V. A.; Kurbatov, A. M.; Tonchev, N. S.
6
1981
On the families of Gibbs semigroups. Zbl 0445.47032
Zagrebnov, V. A.
6
1980
Analysis and operator theory. Dedicated in memory of Tosio Kato’s 100th birthday. Foreword by Barry Simon. Zbl 1419.47002
6
2019
Remarks on the Trotter-Kato product formula for unitary groups. Zbl 1228.47042
Exner, Pavel; Neidhardt, Hagen; Zagrebnov, Valentin A.
6
2011
Analyticity of the Gibbs state for a quantum anharmonic crystal: no order parameter. Zbl 1016.82005
Minlos, R. A.; Pechersky, E. A.; Zagrebnov, V. A.
6
2002
Lower spectral branches of a spin-boson model. Zbl 1152.81315
Angelescu, Nicolae; Minlos, Robert A.; Ruiz, Jean; Zagrebnov, Valentin A.
6
2008
Operator-norm convergence of the Trotter product formula for sectorial generators. Zbl 0959.47025
Cachia, Vincent; Zagrebnov, Valentin A.
5
1999
The approximating Hamiltonian method for the imperfect boson gas. Zbl 1062.82004
Pulé, Joseph V.; Zagrebnov, Valentin A.
5
2004
Superfluidity. III. Zbl 1042.82632
Angelescu, N.; Verbeure, A.; Zagrebnov, V.
5
1997
The canonical perfect Bose gas in Casimir boxes. Zbl 1071.82011
Pulé, Joseph V.; Zagrebnov, Valentin A.
5
2004
Do bosons condense in a homogeneous magnetic field? Zbl 1097.82002
Briet, Philippe; Cornean, Horia D.; Zagrebnov, Valentin A.
5
2004
Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010
Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A.
5
2006
Comments on the Trotter product formula error-bound estimates for non-selfadjoint semigroups. Zbl 1036.47024
Cachia, Vincent; Neidhardt, Hagen; Zagrebnov, Valentin A.
5
2002
Trotter product formula for nonself-adjoint Gibbs semigroups. Zbl 1028.47033
Cachia, Vincent; Zagrebnov, Valentin A.
5
2001
Mean-field interacting boson random point fields in weak harmonic traps. Zbl 1202.82012
Tamura, Hiroshi; Zagrebnov, Valentin A.
5
2009
Remarks on the operator-norm convergence of the Trotter product formula. Zbl 1507.47094
Neidhardt, Hagen; Stephan, Artur; Zagrebnov, Valentin A.
5
2018
Comments on the Chernoff \(\sqrt n\)-lemma. Zbl 1461.47019
Zagrebnov, Valentin A.
5
2017
On the nature of Bose-Einstein condensation enhanced by localization. Zbl 1314.82017
Jaeck, Thomas; Pulé, Joseph V.; Zagrebnov, Valentin A.
5
2010
A partition-free approach to transient and steady-state charge currents. Zbl 1213.82055
Cornean, Horia D.; Gianesello, Céline; Zagrebnov, Valentin
5
2010
A Trotter–Kato product formula for a class of non-autonomous evolution equations. Zbl 1156.47040
Vuillermot, Pierre-A.; Wreszinski, Walter F.; Zagrebnov, Valentin A.
5
2008
Equilibrium states for the Bose gas. Zbl 1068.82006
Vandevenne, Lieselot; Verbeure, André; Zagrebnov, Valentin A.
4
2004
Towards the right Hamiltonian for singular perturbations via regularization and extension theory. Zbl 0858.47006
Neidhardt, Hagen; Zagrebnov, Valentin
4
1996
Algebraic structure of quantum fluctations. Zbl 0966.82002
Momont, B.; Verbeure, A.; Zagrebnov, V. A.
4
1997
The Trotter-Lie product formula for Gibbs semigroups. Zbl 0651.47027
Zagrebnov, V. A.
4
1988
On the interplay of magnetic and molecular forces in Curie-Weiss ferrofluid models. Zbl 0963.82015
Georgii, Hans-Otto; Zagrebnov, Valentin
4
1998
Large deviation principle for noninteracting boson random point processes. Zbl 1309.82017
Tamura, Hiroshi; Zagrebnov, Valentin A.
4
2010
On the nature of Bose-Einstein condensation in disordered systems. Zbl 1177.82017
Jaeck, Thomas; Pulé, Joseph V.; Zagrebnov, Valentin A.
4
2009
Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey. Zbl 07006526
Neidhardt, Hagen; Stephan, Artur; Zagrebnov, Valentin A.
4
2018
Dynamical semigroup for unbounded repeated perturbation of an open system. Zbl 1332.81105
Tamura, Hiroshi; Zagrebnov, Valentin A.
4
2016
The equilibrium states for a model with two kinds of Bose condensation. Zbl 1027.82002
Bru, J.-B.; Nachtergaele, B.; Zagrebnov, V. A.
4
2002
Bose-Einstein condensation for homogeneous interacting systems with a one-particle spectral gap. Zbl 1035.82006
Lauwers, J.; Verbeure, A.; Zagrebnov, V. A.
4
2003
Gaussian, non-Gaussian critical fluctuations in the Curie-Weiss model. Zbl 0828.60086
Verbeure, A.; Zagrebnov, V. A.
4
1994
Bogoliubov quasiaverages: spontaneous symmetry breaking and the algebra of fluctuations. Zbl 1401.81058
Wreszinski, W. F.; Zagrebnov, V. A.
4
2018
On condensations in the Bogoliubov weakly imperfect Bose gas. Zbl 0968.82007
Bru, J.-B.; Zagrebnov, V. A.
3
2000
On the right Hamiltonian for singular perturbations: General theory. Zbl 0887.47024
Neidhardt, Hagen; Zagrebnov, Valentin
3
1997
Quantum critical fluctuations in a ferroelectric model: Quasi-average approach. Zbl 0918.47059
Joussot, Patrice; Zagrebnov, Valentin A.
3
1998
Exact solution of the Bogoliubov Hamiltonian for weakly imperfect Bose gas. Zbl 0953.82003
Bru, J.-B.; Zagrebnov, V. A.
3
1998
Quantum \(n\)-vector anharmonic crystal. I: \(1/n\)-expansion. Zbl 0936.47045
Angelescu, N.; Verbeure, A.; Zagrebnov, V. A.
3
1999
Quantum critical fluctuations in an anharmonic crystal model. Zbl 0816.46081
Verbeure, A.; Zagrebnov, V. A.
3
1993
Models with recoil for Bose-Einstein condensation and superradiance. Zbl 1255.82008
Pulé, Joseph V.; Verbeure, André F.; Zagrebnov, Valentin A.
3
2005
Notes on the Chernoff product formula. Zbl 1518.47027
Zagrebnov, Valentin A.
3
2020
Large deviations in the superstable weakly imperfect Bose-gas. Zbl 1172.82005
Bru, J.-B.; Zagrebnov, V. A.
3
2008
Quantum \(n\)-vector anharmonic crystal. II: Displacement fluctuations. Zbl 0959.82004
Angelescu, N.; Verbeure, A.; Zagrebnov, V. A.
3
2000
Entropy-driven phase transitions in multitype lattice gas models. Zbl 1036.82008
Georgii, Hans-Otto; Zagrebnov, Valentin
3
2001
Spectral properties of Kirkwood-Salsburg and Kirkwood-Ruelle operators. Zbl 0512.47001
Zagrebnov, V. A.
2
1982
On the Trotter product formula for Gibbs semigroups. Zbl 0744.47036
Neidhardt, H.; Zagrebnov, V. A.
2
1990
On semibounded restrictions of self-adjoint operators. Zbl 0931.47024
Neidhardt, Hagen; Zagrebnov, Valentin A.
2
1998
Does each symmetric operator have a stability domain? Zbl 0920.47003
Neidhardt, H.; Zagrebnov, V. A.
2
1998
The lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model. Zbl 1005.82004
Angelescu, N.; Minlos, R. A.; Zagrebnov, V. A.
2
2000
Exact phase diagram of the Bogoliubov weakly imperfect Bose gas. Zbl 0940.82006
Bru, J.-B.; Zagrebnov, V. A.
2
1998
Discontinuity of the magnetization in diluted \(O(n)\)-models. Zbl 0991.82008
Chayes, Lincoln; Shlosman, Senya B.; Zagrebnov, Valentin A.
2
2000
Dynamics of an open system for repeated harmonic perturbation. Zbl 1342.81219
Tamura, Hiroshi; Zagrebnov, Valentin A.
2
2016
A new model of quantum dot light emitting-absorbing devices. Zbl 1312.47017
Neidhardt, H.; Wilhelm, L.; Zagrebnov, V. A.
2
2014
Operator norm convergence of Trotter-Kato product formula. Zbl 1096.47512
Ichinose, T.; Neidhardt, H.; Zagrebnov, V. A.
2
2002
The Cayley transform applied to non-interacting quantum transport. Zbl 1308.47010
Cornean, Horia D.; Neidhardt, Hagen; Wilhelm, Lukas; Zagrebnov, Valentin A.
2
2014
Product formulae for non-autonomous Gibbs semigroups. Zbl 1511.47057
Zagrebnov, Valentin A.
1
2021
Convergence rate estimates for Trotter product approximations of solution operators for non-autonomous Cauchy problems. Zbl 1450.34041
Neidhardt, Hagen; Stephan, Artur; Zagrebnov, Valentin A.
7
2020
Notes on the Chernoff product formula. Zbl 1518.47027
Zagrebnov, Valentin A.
3
2020
Gibbs semigroups. Zbl 1512.47004
Zagrebnov, Valentin A.
11
2019
Analysis and operator theory. Dedicated in memory of Tosio Kato’s 100th birthday. Foreword by Barry Simon. Zbl 1419.47002
6
2019
Remarks on the operator-norm convergence of the Trotter product formula. Zbl 1507.47094
Neidhardt, Hagen; Stephan, Artur; Zagrebnov, Valentin A.
5
2018
Operator-norm convergence of the Trotter product formula on Hilbert and Banach spaces: a short survey. Zbl 07006526
Neidhardt, Hagen; Stephan, Artur; Zagrebnov, Valentin A.
4
2018
Bogoliubov quasiaverages: spontaneous symmetry breaking and the algebra of fluctuations. Zbl 1401.81058
Wreszinski, W. F.; Zagrebnov, V. A.
4
2018
Comments on the Chernoff \(\sqrt n\)-lemma. Zbl 1461.47019
Zagrebnov, Valentin A.
5
2017
Dynamical semigroup for unbounded repeated perturbation of an open system. Zbl 1332.81105
Tamura, Hiroshi; Zagrebnov, Valentin A.
4
2016
Dynamics of an open system for repeated harmonic perturbation. Zbl 1342.81219
Tamura, Hiroshi; Zagrebnov, Valentin A.
2
2016
A model of nonautonomous dynamics driven by repeated harmonic interaction. Zbl 1346.82015
Zagrebnov, Valentin A.; Tamura, H.
2
2016
Around the Van Daele-Schmüdgen theorem. Zbl 1320.47023
Arlinskiĭ, Yury; Zagrebnov, Valentin A.
8
2015
Exactly soluble quantum model for repeated harmonic perturbation. Zbl 1456.82603
Tamura, Hiroshi; Zagrebnov, Valentin A.
2
2015
Disordered Bose Einstein condensates with interaction. Zbl 1302.81097
Seiringer, R.; Yngvason, J.; Zagrebnov, V. A.
6
2014
Non-equilibrium states of a photon cavity pumped by an atomic beam. Zbl 1298.81510
Nachtergaele, Bruno; Vershynina, Anna; Zagrebnov, Valentin A.
6
2014
A new model of quantum dot light emitting-absorbing devices. Zbl 1312.47017
Neidhardt, H.; Wilhelm, L.; Zagrebnov, V. A.
2
2014
The Cayley transform applied to non-interacting quantum transport. Zbl 1308.47010
Cornean, Horia D.; Neidhardt, Hagen; Wilhelm, Lukas; Zagrebnov, Valentin A.
2
2014
The Bogolyubov c-number approximation for random boson systems. Zbl 1313.82002
Zagrebnov, Valentin A.
1
2014
Random point field approach to analysis of anisotropic Bose-Einstein condensations. Zbl 1272.82007
Tamura, Hiroshi; Zagrebnov, Valentin A.
2
2012
Lieb-Robinson bounds and existence of the thermodynamic limit for a class of irreversible quantum dynamics. Zbl 1244.82044
Nachtergaele, Bruno; Vershynina, Anna; Zagrebnov, Valentin A.
12
2011
Remarks on the Trotter-Kato product formula for unitary groups. Zbl 1228.47042
Exner, Pavel; Neidhardt, Hagen; Zagrebnov, Valentin A.
6
2011
On the existence of the dynamics for anharmonic quantum oscillator systems. Zbl 1187.82071
Nachtergaele, Bruno; Schlein, Benjamin; Sims, Robert; Starr, Shannon; Zagrebnov, Valentin
13
2010
Numerical range and quasi-sectorial contractions. Zbl 1189.47007
Arlinskiĭ, Yury; Zagrebnov, Valentin
11
2010
On the nature of Bose-Einstein condensation enhanced by localization. Zbl 1314.82017
Jaeck, Thomas; Pulé, Joseph V.; Zagrebnov, Valentin A.
5
2010
A partition-free approach to transient and steady-state charge currents. Zbl 1213.82055
Cornean, Horia D.; Gianesello, Céline; Zagrebnov, Valentin
5
2010
Large deviation principle for noninteracting boson random point processes. Zbl 1309.82017
Tamura, Hiroshi; Zagrebnov, Valentin A.
4
2010
Exactness of the Bogoliubov approximation in random external potentials. Zbl 1314.82024
Jaeck, Thomas; Zagrebnov, Valentin A.
1
2010
Linear non-autonomous Cauchy problems and evolution semigroups. Zbl 1180.35371
Neidhardt, Hagen; Zagrebnov, Valentin A.
20
2009
A general Trotter–Kato formula for a class of evolution operators. Zbl 1173.47026
Vuillermot, Pierre-A.; Wreszinski, Walter F.; Zagrebnov, Valentin A.
11
2009
The effect of time-dependent coupling on non-equilibrium steady states. Zbl 1213.82073
Cornean, Horia D.; Neidhardt, Hagen; Zagrebnov, Valentin A.
8
2009
Mean-field interacting boson random point fields in weak harmonic traps. Zbl 1202.82012
Tamura, Hiroshi; Zagrebnov, Valentin A.
5
2009
On the nature of Bose-Einstein condensation in disordered systems. Zbl 1177.82017
Jaeck, Thomas; Pulé, Joseph V.; Zagrebnov, Valentin A.
4
2009
Erratum: “Lower spectral branches of a spin-boson model”. Zbl 1373.81206
Angelescu, N.; Minlos, R. A.; Ruiz, J.; Zagrebnov, V. A.
1
2009
Quasi-sectorial contractions. Zbl 1146.47028
Zagrebnov, Valentin A.
9
2008
Lower spectral branches of a spin-boson model. Zbl 1152.81315
Angelescu, Nicolae; Minlos, Robert A.; Ruiz, Jean; Zagrebnov, Valentin A.
6
2008
A Trotter–Kato product formula for a class of non-autonomous evolution equations. Zbl 1156.47040
Vuillermot, Pierre-A.; Wreszinski, Walter F.; Zagrebnov, Valentin A.
5
2008
Large deviations in the superstable weakly imperfect Bose-gas. Zbl 1172.82005
Bru, J.-B.; Zagrebnov, V. A.
3
2008
From Laplacian transport to Dirichlet-to-Neumann (Gibbs) semigroups. Zbl 1188.35060
Zagrebnov, V. A.
1
2008
Bose-Einstein condensation in the Luttinger-Sy model. Zbl 1181.82005
Lenoble, O.; Zagrebnov, V. A.
11
2007
Zeno product formula revisited. Zbl 1119.47016
Exner, Pavel; Ichinose, Takashi; Neidhardt, Hagen; Zagrebnov, Valentin A.
7
2007
Proof of the variational principle for a pair Hamiltonian boson model. Zbl 1111.82009
Pulé, Joseph V.; Zagrebnov, Valentin A.
2
2007
Mean-field theory of the Potts gas. Zbl 1105.82005
Georgii, Hans-Otto; Miracle-Sole, Salvador; Ruiz, Jean; Zagrebnov, Valentin A.
10
2006
Condensation in a disordered infinite-range hopping Bose-Hubbard model. Zbl 1117.82010
Dorlas, T. C.; Pastur, L. A.; Zagrebnov, V. A.
5
2006
First-order transitions for some generalized \(XY\) models. Zbl 1122.82013
Van Enter, Aernout C. D.; Romano, Silvano; Zagrebnov, Valentin A.
1
2006
Lower spectral branches of a particle coupled to a Bose field. Zbl 1086.81040
Angelescu, Nicolae; Minlos, Robert A.; Zagrebnov, Valentin A.
13
2005
On nonhomogeneous Bose condensation. Zbl 1110.82005
Pulé, Joseph V.; Verbeure, André F.; Zagrebnov, Valentin A.
7
2005
Models with recoil for Bose-Einstein condensation and superradiance. Zbl 1255.82008
Pulé, Joseph V.; Verbeure, André F.; Zagrebnov, Valentin A.
3
2005
Bose-Einstein condensation in geometrically deformed tubes. Zbl 1071.82505
Exner, P.; Zagrebnov, V. A.
1
2005
Trotter–Kato product formula and fractional powers of self-adjoint generators. Zbl 1066.47038
Ichinose, Takashi; Neidhardt, Hagen; Zagrebnov, Valentin A.
11
2004
The approximating Hamiltonian method for the imperfect boson gas. Zbl 1062.82004
Pulé, Joseph V.; Zagrebnov, Valentin A.
5
2004
The canonical perfect Bose gas in Casimir boxes. Zbl 1071.82011
Pulé, Joseph V.; Zagrebnov, Valentin A.
5
2004
Do bosons condense in a homogeneous magnetic field? Zbl 1097.82002
Briet, Philippe; Cornean, Horia D.; Zagrebnov, Valentin A.
5
2004
Equilibrium states for the Bose gas. Zbl 1068.82006
Vandevenne, Lieselot; Verbeure, André; Zagrebnov, Valentin A.
4
2004
Magnetostriction transition. Zbl 1061.82013
Shlosman, Senya; Zagrebnov, Valentin
1
2004
Models for equilibrium BEC superradiance. Zbl 1064.81559
Pulé, Joseph V.; Verbeure, André; Zagrebnov, Valentin A.
1
2004
Topics in the theory of Gibbs semigroups. Zbl 1031.47002
Zagrebnov, Valentin A.
10
2003
Proof of Bose-Einstein condensation for interacting gases with a one-particle spectral gap. Zbl 1042.82003
Lauwers, J.; Verbeure, A.; Zagrebnov, V. A.
7
2003
Bose-Einstein condensation for homogeneous interacting systems with a one-particle spectral gap. Zbl 1035.82006
Lauwers, J.; Verbeure, A.; Zagrebnov, V. A.
4
2003
Potential approximations to \(\delta'\): an inverse Klauder phenomenon with norm-resolvent convergence. Zbl 1161.81375
Exner, Pavel; Neidhardt, Hagen; Zagrebnov, Valentin A.
29
2002
Berezinskij-Kosterlitz-Thouless order in two-dimensional \(O(2)\)-ferrofluid. Zbl 1001.82042
Gruber, Christian; Tamura, Hiroshi; Zagrebnov, Valentin A.
10
2002
Analyticity of the Gibbs state for a quantum anharmonic crystal: no order parameter. Zbl 1016.82005
Minlos, R. A.; Pechersky, E. A.; Zagrebnov, V. A.
6
2002
Comments on the Trotter product formula error-bound estimates for non-selfadjoint semigroups. Zbl 1036.47024
Cachia, Vincent; Neidhardt, Hagen; Zagrebnov, Valentin A.
5
2002
The equilibrium states for a model with two kinds of Bose condensation. Zbl 1027.82002
Bru, J.-B.; Nachtergaele, B.; Zagrebnov, V. A.
4
2002
Operator norm convergence of Trotter-Kato product formula. Zbl 1096.47512
Ichinose, T.; Neidhardt, H.; Zagrebnov, V. A.
2
2002
On the \(xy\) model and its generalizations. Zbl 0997.82015
Romano, Silvano; Zagrebnov, Valentin
1
2002
The Bogoliubov model of weakly imperfect Bose gas. Zbl 0971.82006
Zagrebnov, V. A.; Bru, J.-B.
60
2001
Operator-norm approximation of semigroups by quasi-sectorial contractions. Zbl 0981.47015
Cachia, Vincent; Zagrebnov, Valentin A.
17
2001
Note on the paper: “The norm convergence of the Trotter–Kato product formula with error bound” by T. Ichinose and H. Tamura. Zbl 1059.47506
Ichinose, Takashi; Tamura, Hideo; Tamura, Hiroshi; Zagrebnov, Valentin A.
16
2001
Rigidity of the critical phases on a Cayley tree. Zbl 0998.60022
Bleher, P.; Schonmann, R. H.; Shlosman, S.; Zagrebnov, V.
12
2001
Operator-norm convergence of the Trotter product formula for holomorphic semigroups. Zbl 1015.47022
Cachia, Vincent; Zabgrebnov, Valentin A.
9
2001
Accretive perturbations and error estimates for the Trotter product formula. Zbl 0996.47047
Cachia, Vincent; Neidhardt, Hagen; Zagrebnov, Valentin A.
7
2001
Trotter product formula for nonself-adjoint Gibbs semigroups. Zbl 1028.47033
Cachia, Vincent; Zagrebnov, Valentin A.
5
2001
Entropy-driven phase transitions in multitype lattice gas models. Zbl 1036.82008
Georgii, Hans-Otto; Zagrebnov, Valentin
3
2001
A quantum crystal model in the light-mass limit: Gibbs states. Zbl 0976.82010
Minlos, R. A.; Verbeure, A.; Zagrebnov, V. A.
17
2000
A model with coexistence of two kinds of Bose condensation. Zbl 0957.82001
Bru, J.-B.; Zagrebnov, V. A.
14
2000
On condensations in the Bogoliubov weakly imperfect Bose gas. Zbl 0968.82007
Bru, J.-B.; Zagrebnov, V. A.
3
2000
Quantum \(n\)-vector anharmonic crystal. II: Displacement fluctuations. Zbl 0959.82004
Angelescu, N.; Verbeure, A.; Zagrebnov, V. A.
3
2000
The lower spectral branch of the generator of the stochastic dynamics for the classical Heisenberg model. Zbl 1005.82004
Angelescu, N.; Minlos, R. A.; Zagrebnov, V. A.
2
2000
Discontinuity of the magnetization in diluted \(O(n)\)-models. Zbl 0991.82008
Chayes, Lincoln; Shlosman, Senya B.; Zagrebnov, Valentin A.
2
2000
The one-particle energy spectrum of weakly coupled quantum rotators. Zbl 0977.82006
Angelescu, Nicolae; Minlos, Robert A.; Zagrebnov, Valentin A.
2
2000
Trotter-Kato product formula and operator-norm convergence. Zbl 0949.47019
Neidhardt, H.; Zagrebnov, V. A.
25
1999
Trotter-Kato product formula and symmetrically normed ideals. Zbl 0953.47047
Neidhardt, H.; Zagrebnov, V. A.
9
1999
Anomalous electron trapping by localized magnetic fields. Zbl 1055.81522
Bentosela, F.; Cavalcanti, R. M.; Exner, P.; Zagrebnov, V. A.
9
1999
Fractional powers of self-adjoint operators and Trotter-Kato product formula. Zbl 0945.47030
Neidhardt, Hagen; Zagrebnov, Valentin A.
9
1999
Operator-norm convergence of the Trotter product formula for sectorial generators. Zbl 0959.47025
Cachia, Vincent; Zagrebnov, Valentin A.
5
1999
Quantum \(n\)-vector anharmonic crystal. I: \(1/n\)-expansion. Zbl 0936.47045
Angelescu, N.; Verbeure, A.; Zagrebnov, V. A.
3
1999
On the operator-norm convergence of the Trotter-Kato product formula. Zbl 0973.47021
Neidhardt, H.; Zagrebnov, V. A.
1
1999
Thermodynamic behavior of the Bogoliubov weakly imperfect Bose gas. Zbl 0993.82008
Bru, Jean-Bernard; Zagrebnov, Valentin A.
1
1999
On error estimates for the Trotter-Kato product formula. Zbl 0998.47021
Neidhardt, H.; Zagrebnov, V. A.
19
1998
On the phase diagram of the random field Ising model on the Bethe lattice. Zbl 0963.82023
Bleher, P. M.; Ruiz, J.; Zagrebnov, V. A.
13
1998
On the interplay of magnetic and molecular forces in Curie-Weiss ferrofluid models. Zbl 0963.82015
Georgii, Hans-Otto; Zagrebnov, Valentin
4
1998
Quantum critical fluctuations in a ferroelectric model: Quasi-average approach. Zbl 0918.47059
Joussot, Patrice; Zagrebnov, Valentin A.
3
1998
Exact solution of the Bogoliubov Hamiltonian for weakly imperfect Bose gas. Zbl 0953.82003
Bru, J.-B.; Zagrebnov, V. A.
3
1998
On semibounded restrictions of self-adjoint operators. Zbl 0931.47024
Neidhardt, Hagen; Zagrebnov, Valentin A.
2
1998
Does each symmetric operator have a stability domain? Zbl 0920.47003
Neidhardt, H.; Zagrebnov, V. A.
2
1998
Exact phase diagram of the Bogoliubov weakly imperfect Bose gas. Zbl 0940.82006
Bru, J.-B.; Zagrebnov, V. A.
2
1998
Superfluidity. III. Zbl 1042.82632
Angelescu, N.; Verbeure, A.; Zagrebnov, V.
5
1997
Algebraic structure of quantum fluctations. Zbl 0966.82002
Momont, B.; Verbeure, A.; Zagrebnov, V. A.
4
1997
On the right Hamiltonian for singular perturbations: General theory. Zbl 0887.47024
Neidhardt, Hagen; Zagrebnov, Valentin
3
1997
...and 23 more Documents
all top 5

Cited by 614 Authors

64 Zagrebnov, Valentin A.
29 Rozikov, Utkir A.
15 Kondrat’yev, Yuriĭ Grygorovych
15 Verbeure, André F.
14 Neidhardt, Hagen
12 Albeverio, Sergio A.
12 Bru, Jean-Bernard
12 Mossel, Elchanan
11 Exner, Pavel
11 Haydarov, Farhod Halimjonovich
11 Kerner, Joachim
11 Kozitsky, Yuri Vasil’evich
10 Khakimov, Rustam M.
10 Mukhamedov, Farruh Maksutovich
9 Külske, Christof
9 Pulé, Joseph V.
9 Rahmatullaev, Muzaffar
8 Arlins’kyĭ, Yuriĭ Moĭseĭovych
8 Pasurek, Tatiana
8 Ruiz, Jean
7 Eshkabilov, Yusup Khalbaevich
7 Ichinose, Takashi
7 Khakimov, Otabek N.
7 Minlos, Robert Adol’fovich
7 Röckner, Michael
7 Wreszinski, Walter F.
6 Akin, Hasan
6 Cheng, Ze
6 Pechmann, Maximilian
6 Peres, Yuval
6 Sims, Robert L.
6 Sly, Allan
6 Tamura, Hiroshi
5 Facchi, Paolo
5 Gandolfo, Daniel
5 Liu, Wenjian
5 Ning, Ning
5 Roch, Sébastien
5 Vuillermot, Pierre-A.
4 Cornean, Horia D.
4 Gil’, Michael Iosif
4 Häggström, Olle
4 Ligabò, Marilena
4 Makhammadaliev, Mukhtorjon Tursunmukhammad o’g’li
4 Møller, Jacob Schach
4 Momont, B.
4 Nachtergaele, Bruno
4 Napiórkowski, Marek
4 Sankovich, D. P.
4 Savoie, Baptiste
4 Suhov, Yurii Mikhailovich
4 Tamura, Hideo
4 Volovich, Igor’ Vasil’evich
4 Wojtkiewicz, Jacek
4 Zolotaryuk, Alexander V.
3 Akhymbek, Meiram Erkanatuly
3 Aref’eva, Irina Yaroslavna
3 Bachmann, Sven
3 Bikmetov, Aĭdar Renatovich
3 Bolte, Jens
3 Botirov, Golibjon I.
3 Broidioi, M.
3 Bruneau, Laurent
3 Cachia, Vincent
3 Cheon, Taksu
3 Csomós, Petra
3 Daletskii, Alexei
3 Eisert, Jens
3 Ganikhodjaev, Nasir Nabievich
3 Golovatyj, Yuriy Danilovich
3 Jaeck, Thomas
3 Jakubczyk, Paweł
3 Koshmanenko, Volodymyr Dmytrovych
3 Michalakis, Spyridon
3 Piasecki, Jarosław
3 Pillet, Claude-Alain
3 Presutti, Errico
3 Pusz, Wiesław
3 Rebenko, Alexei L.
3 Seiringer, Robert
3 Shlosman, Senya B.
3 Spitzer, Wolfgang Ludwig
3 Stachura, Piotr
3 Turek, Ondřej
3 Ueltschi, Daniel
3 Zhizhina, Elena Anatol’evna
3 Zolotaryuk, Yaroslav
2 Accardi, Luigi
2 Adams, Stefan
2 Akchurin, E. R.
2 Alastuey, Angel
2 Angelescu, Nicolae
2 Balti, Marwa
2 Bátkai, András
2 Benatti, Fabio
2 Biskup, Marek
2 Borisov, Denis Ivanovich
2 Boulton, Lyonell
2 Briet, Philippe
2 Carollo, Federico
...and 514 more Authors
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Cited in 132 Serials

66 Journal of Statistical Physics
56 Journal of Mathematical Physics
31 Journal of Statistical Mechanics: Theory and Experiment
29 Communications in Mathematical Physics
26 Theoretical and Mathematical Physics
23 Journal of Functional Analysis
21 Reviews in Mathematical Physics
19 Annales Henri Poincaré
17 Reports on Mathematical Physics
14 Journal of Physics A: Mathematical and Theoretical
13 Journal of Mathematical Analysis and Applications
11 Physics Letters. A
10 Letters in Mathematical Physics
10 Integral Equations and Operator Theory
8 The Annals of Probability
6 International Journal of Modern Physics B
6 Probability Theory and Related Fields
6 The Annals of Applied Probability
6 Mathematical Physics, Analysis and Geometry
6 Infinite Dimensional Analysis, Quantum Probability and Related Topics
6 Journal of High Energy Physics
4 Journal of Differential Equations
4 Journal of Evolution Equations
3 International Journal of Theoretical Physics
3 Ukrainian Mathematical Journal
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
3 Calculus of Variations and Partial Differential Equations
3 Electronic Journal of Probability
3 Complex Analysis and Operator Theory
3 Chinese Journal of Physics (Taipei)
2 Lithuanian Mathematical Journal
2 Mathematical Notes
2 Physics Reports
2 Bulletin of Mathematical Biology
2 Advances in Mathematics
2 Memoirs of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Numerische Mathematik
2 Transactions of the Moscow Mathematical Society
2 SIAM Journal on Discrete Mathematics
2 Annals of Physics
2 Stochastic Processes and their Applications
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Positivity
2 Brazilian Journal of Probability and Statistics
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Oberwolfach Reports
2 Proceedings of the Steklov Institute of Mathematics
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Journal of Siberian Federal University. Mathematics & Physics
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Discrete Mathematics
1 Mathematical Biosciences
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Moscow University Mathematics Bulletin
1 Nonlinearity
1 Nuclear Physics. B
1 Problems of Information Transmission
1 Studia Mathematica
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Chaos, Solitons and Fractals
1 Acta Scientiarum Mathematicarum
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 Applied Mathematics and Computation
1 Archiv der Mathematik
1 Functional Analysis and its Applications
1 Journal of Applied Probability
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1 Journal of Computational and Applied Mathematics
1 Journal für die Reine und Angewandte Mathematik
1 Kybernetika
1 Mathematische Nachrichten
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Proceedings of the American Mathematical Society
1 Proceedings of the Japan Academy. Series A
1 Quarterly of Applied Mathematics
1 Semigroup Forum
1 Siberian Mathematical Journal
1 Theoretical Computer Science
1 Transactions of the American Mathematical Society
1 Applied Numerical Mathematics
1 Statistical Science
1 MCSS. Mathematics of Control, Signals, and Systems
1 Japan Journal of Industrial and Applied Mathematics
1 Communications in Partial Differential Equations
1 L’Enseignement Mathématique. 2e Série
1 SIAM Journal on Applied Mathematics
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Indagationes Mathematicae. New Series
1 Potential Analysis
1 Russian Journal of Mathematical Physics
1 Journal of Mathematical Sciences (New York)
1 Kyushu Journal of Mathematics
1 Filomat
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...and 32 more Serials
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Cited in 50 Fields

316 Statistical mechanics, structure of matter (82-XX)
169 Quantum theory (81-XX)
130 Operator theory (47-XX)
115 Probability theory and stochastic processes (60-XX)
63 Partial differential equations (35-XX)
48 Combinatorics (05-XX)
41 Functional analysis (46-XX)
29 Ordinary differential equations (34-XX)
19 Dynamical systems and ergodic theory (37-XX)
14 Numerical analysis (65-XX)
12 Biology and other natural sciences (92-XX)
11 Relativity and gravitational theory (83-XX)
10 Approximations and expansions (41-XX)
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7 Measure and integration (28-XX)
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3 General and overarching topics; collections (00-XX)
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