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Publications for Jozsef Lorinczi
Gheryan, S, Hiroshima, F, Lorinczi, J, Majid, A, Ouerdiane, H Functional central limit
theorems and $P(phi)_{1}$-processes for the classical and relativistic Nelson models,
We construct $P(phi)_1$-processes indexed by the full time-line, separately derived
from the functional integral representations of the classical Nelson model and relativistic
Nelson model in quantum field theory. Associated with these processes we define a
martingale which, under proper scaling, allows to obtain a central limit theorem for
additive functionals of the two processes. We show a number of examples by choosing
specific functionals related to particle-field operators..
Kaleta, K and Lőrinczi, J (2017) Fall-off of eigenfunctions for non-local Schrödinger
operators with decaying potentials, Potential Analysis, 46(4), pp.647-688, ISSN: 1572929X. DOI: 10.1007/s11118-016-9597-3.
Lorinczi, J and Sasaki, I (2017) Embedded Eigenvalues and Neumann-Wigner
Potentials for Relativistic Schroedinger Operators, Journal of Functional Analysis, ISSN:
0022-1236. DOI: 10.1016/j.jfa.2017.03.012.
Lorinczi, J, Kaleta, K, Kwasnicki, M, (Accepted for publication) Contractivity and ground
state domination properties for non-local Schrödinger operators, Journal of Spectral
Theory, ISSN: 1664-039X.
Hiroshima, F, Ichinose, T, Lorinczi, J (2017) Kato's Inequality for Magnetic Relativistic
Schrödinger Operators, Publications of the Research Institute for Mathematical
Sciences, 53(1), pp.79-117, ISSN: 0454-7845. DOI: 10.4171/PRIMS/53-1-3.
Kaleta, K and Lorinczi, J (2016) Transition in the decay rates of stationary distributions
of Lévy motion in an energy landscape, Physical Review E - Statistical Physics,
Plasmas, Fluids, and Related Interdisciplinary Topics, 93, pp.022135-022142, ISSN:
1063-651X. DOI: 10.1103/PhysRevE.93.022135.
Lorinczi, J, Kaleta, K, Durugo, SO (2015) Spectral and Analytic Properties of NonLocal Schrödinger Operators and Related Jump Processes, Communications in Applied
and Industrial Mathematics, 6(2), ISSN: 2038-0909. DOI: 10.1685/journal.caim.534.
Hiroshima, F, Lörinczi, J, Rozikov, U (2015) Periodic Solutions of Generalized
Schrödinger Equations on Cayley Trees, Communications on Stochastic Analysis, 9(2),
pp.283-296, Full text: https://www.math.lsu.edu/cosa/contents.htm .
Lorinczi, J and Kaleta, K (2015) Pointwise eigenfunction estimates and intrinsic
ultracontractivity-type properties of Feynman–Kac semigroups for a class of Lévy
processes, Annals of Probability, 43(3), pp.1350-1398, ISSN: 0091-1798. DOI:
10.1214/13-AOP897.
Gubinelli, M, Hiroshima, F, Lorinczi, J (2014) Ultraviolet renormalization of the Nelson
Hamiltonian through functional integration, Journal of Functional Analysis, 267(9),
pp.3125-3153, ISSN: 0022-1236. DOI: 10.1016/j.jfa.2014.08.002.
Lorinczi, J and Hiroshima, F (2014) The spectrum of non-local discrete Schrödinger
operators with a δ-potential, Pacific Journal of Mathematics for Industry, 6(7), pp.1-6,
DOI: 10.1186/s40736-014-0007-8.
Hirokawa, M, Hiroshima, F, Lőrinczi, J (2014) Spin-boson model through a Poissondriven stochastic process, Mathematische Zeitschrift, 277(3-4), pp.1165-1198, ISSN:
0025-5874. DOI: 10.1007/s00209-014-1299-1.
Hiroshima, F, Ichinose, T, Lorinczi, J (2013) Probabilistic representation and fall-off of
bound states of relativistic Schrödinger operators with spin 1/2, Publications of the
Research Institute for Mathematical Sciences, 49(1), pp.189-214, ISSN: 0034-5318.
DOI: 10.4171/PRIMS/102.
Kaleta, K and Lorinczi, J (2012) Fractional P ( φ) 1-processes and Gibbs measures,
Stochastic Processes and their Applications, 122(10), pp.3580-3617, ISSN: 0304-4149.
DOI: 10.1016/j.spa.2012.06.001.
Hiroshima, F, Ichinose, T, Lorinczi, J (2012) Path integral representation for
Schrödinger operators with Bernstein functions of the Laplacian, Reviews in
Mathematical Physics: a journal for survey and expository articles in the field of
mathematical physics, 24, pp.1250013-1250013, ISSN: 1793-6659. DOI:
10.1142/S0129055X12500134.
Lorinczi, J (2012) Lieb-Thirring bound for Schrödinger operators with Bernstein
functions of the Laplacian, Communications on Stochastic Analysis, 6(4), pp.589-602,
Full text: https://www.math.lsu.edu/cosa/contents.htm .
Hiroshima, F, Lorinczi, J, Takaesu, T (2012) A probabilistic representation of the
ground state expectation of fractional powers of the boson number operator, JOURNAL
OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 395(2), pp.437-447, ISSN:
0022-247X. DOI: 10.1016/j.jmaa.2012.04.076.
Lorinczi, J and Malecki, J (2012) Spectral properties of the massless relativistic
harmonic oscillator, JOURNAL OF DIFFERENTIAL EQUATIONS, 253(10), pp.28462871, ISSN: 0022-0396. DOI: 10.1016/j.jde.2012.07.010.
Lorinczi, J (2011) Exponential Integrability and DLR Consistence of Some Rough
Functionals. In Dalang, RC, Dozzi, M, Russo, F (ed) 6th Seminar on Stochastic
Analysis, Random Fields and Applications, SEMINAR ON STOCHASTIC ANALYSIS,
RANDOM FIELDS AND APPLICATIONS VI, Ctr Stefano Franscini, Ascona,
SWITZERLAND, pp.191-208, ISBN: 978-3-0348-0020-4.
Lorinczi, J, Hiroshima, F, Betz, V (2011) Feynman-Kac-Type Theorems and Gibbs
Measures on Path Space. With Applications to Rigorous Quantum Field Theory, Studies
in Mathematics 34, Walter de Gruyter, Walter de Gruyter, ISBN: 978-3-11-020148-2.
Full text: http://www.degruyter.com/ .
Kaleta, K and Lorinczi, J (2010) Analytic properties of fractional Schrodinger semigroups and Gibbs measures for stable processes, preprint 2010.
Lorinczi, J (2009) Exponential integrability of some rough functionals. In Proc. Sixth
Seminar on Stochastic Analysis, tba, Ascona 2008.
Gubinelli, M and Lorinczi, J (2009) Gibbs measures on Brownian currents, Commun.
Pure Appl. Math, 62, pp.1-56, DOI: 10.1002/cpa.20260.
Gubinelli, M and Lorinczi, J (2009) Ultraviolet renormalization of Nelson's model
through functional integration, preprint 2009, pp.1250013-1250013.
Hiroshima, F and Lorinczi, J (2008) Functional integral representation of the Pauli-Fierz
model with spin 1/2, J. Funct. Anal, 254, pp.2127-2185, DOI: 10.1016/j.jfa.2008.01.002.
Hiroshima, F and Lorinczi, J (2008) Erratum to "Functional integral representation of
the Pauli-Fierz model with spin 1/2" [J. Funct. Anal. 254 (2008) 2127-2185]
(DOI:10.1016/j.jfa.2008.01.002), Journal of Functional Analysis, 254(11), p.2947, ISSN:
0022-1236. DOI: 10.1016/j.jfa.2008.03.009.
Lorinczi, J (2008) Rigorous functional integration with applications to QFT. In Janke, W
and eds, AP (ed) World Scientific, Path Integrals - New Trends and Perspectives, tba,
pp.2127-2185.
Lorinczi, J (2007) Fejezetek a matematikai fizikabol, Selected Chapters in
Mathematical Physics.
Lorinczi, J and Mauser, NJ (2006) A stochastic approach to the bipolaron model, RIMS
Kyoto Kokyuroku, 1482, pp.1-10.
Georgii, HO, Lorinczi, J, Lukkarinen, J (2005) The continuum Potts model at the
disorder-order transition - a study by cluster dynamics, JOURNAL OF STATISTICAL
MECHANICS-THEORY AND EXPERIMENT, ARTN P06011, ISSN: 1742-5468. DOI:
10.1088/1742-5468/2005/06/P06011.
Betz, V, Lorinczi, J, Spohn, H (2005) Gibbs measure for Brownian paths: Theory and
Applications, in Interacting Stochastic Systems, J.D. Deuschel and A. Greven (eds).
Georgii, HO, Lorinczi, J, Lukkarinen, J (2005) The continuum Potts model at the
disorder-order transition - A study by cluster dynamics, Journal of Statistical Mechanics:
Theory and Experiment, (6), pp.191-215, ISSN: 1742-5468. DOI: 10.1088/17425468/2005/06/P06011.
Betz, V, Lorinczi, J, Spohn, H (2004) Gibbs measures on Brownian paths: Theory and
applications, We review our investigations on Gibbs measures relative to Brownian
motion, in particular the existence of such measures and their path properties,
uniqueness, resp. non-uniqueness. For the case when the energy only depends on
increments, we present a functional central limit theorem. We also explain connections
with other work and state open problems of interest..
Lorinczi, J (2004) The ground state in Nelson's model with or without infrared cutoff. In
Albeverio, S, Ma, ZH, eds, MR (ed) World Scientific Press, Recent Developments in
Stochastic Analysis and Related Topics, tba, pp.309-329.
Lorinczi, J and Betz, V (2003) Uniqueness of Gibbs measures relative to Brownian
motion, Ann Henri Poincare, 39, pp.877-889, DOI: 10.1016/S0246-0203(03)00021-9.
Betz, V and Lorinczi, J (2003) Uniqueness of Gibbs measures relative to Brownian
motion, Ann. I.H. Poincare, 39, pp.877-889.
Betz, V, Hiroshima, F, Lorinczi, J, Minlos, RA, Spohn, H (2002) Ground state
properties of the Nelson Hamiltonian - A Gibbs measure-based approach., Reviews in
Mathematical Physics: a journal for survey and expository articles in the field of
mathematical physics, 14, pp.173-198, ISSN: 1793-6659. DOI:
10.1142/S0129055X02001119.
Lorinczi, J (2002) Gibbs measures on Brownian paths. In Sidoravicius, V (ed) 4th
Brazilian School of Probability, IN AND OUT OF EQUILIBRIUM: PROBABILITY WITH A
PHYSICS FLAVOR, RIO DE JANEIRO, BRAZIL, pp.349-362, ISBN: 0-8176-4289-7.
Lorinczi, J (2002) Gibbs measures on Brownian paths, in In and Out of Equilibrium:
Physics with a Probability Flavour, V. Sidoravicius, Ed, Birkhauser.
Lorinczi, J, Minlos, RA, Spohn, H (2002) Infrared regular representation of the three
dimensional massless Nelson model, Lett Math Phys, 59, pp.189-198, DOI:
10.1023/A:1015528401907.
Lorinczi, J, Minlos, RA, Sophn, H (2002) Infrared regular representation of the three
dimensionsal massless Nelson model, Lett. Math. Phys, 59, pp.189-198.
Lörinczi, J, Minlos, RA, Spohn, H (2002) The infrared behaviour in Nelson's model of a
quantum particle coupled to a massless scalar field, Annales Henri Poincare, 3(2),
pp.269-295, ISSN: 1424-0637. DOI: 10.1007/s00023-002-8617-6.
Lorinczi, J (2002) Towards a theory of renormalization: Renormalization through
disagreement percolation, RIMS Kyoto Kokyuroku, 1275, pp.18-30.
Lorinczi, J and Minlos, RA (2001) Gibbs measures for Brownian paths under the effect
of an external and a small pair potential, J Stat Phys, 105(3), pp.605-648, DOI:
10.1023/A:1012279826414.
Lorinczi, J and Minlos, RA (2001) Gibbs measures for Brownian paths under the effect
of an external and small pair potential, J. Stat. Phys, 105, pp.605-647.
Lorinczi, J (2001) Qualitative properties of the ground state in Nelson's scalar field
model - A Gibbs measure-based approach. In eds, AACCEA (ed) Disordered and
Complex Systems, London 2000, pp.203-208.
Lorinczi, J, Maes, C, Vande Velde, K (1998) Transformations of Gibbs measures,
Probab. Theory Rel. Fields, 112, pp.121-147, DOI: 10.1007/s004400050185.
Lorinczi, J (1998) Non-Gibbsianness of the reduced SOS-measure, Stoch. Proc. Appl,
74, pp.83-88, DOI: 10.1016/S0304-4149(97)00107-5.
Lorinczi, J and Maes, C (1997) Weakly Gibbsian measure for lattice spin systems, J.
Stat. Phys, 89, pp.561-579, DOI: 10.1007/BF02765536.
van Enter, ACD and Lorinczi, J (1996) Robustness of the non-Gibbsian property: some
examples, J. Phys. A: Math. Gen, 29, pp.2465-2473, DOI: 10.1088/03054470/29/10/024.
Lorinczi, J (1995) On Limits of the Gibbsian Formalism in Thermodynamics,
Groningen, ISBN: 978-90-367-3002-0.
Lorinczi, J (1995) Quasilocality of projected Gibbs measures through analyticity
techniques, HELVETICA PHYSICA ACTA, 68(7-8), pp.605-626, ISSN: 0018-0238.
Lorinczi, J (1995) Quasilocality of projected Gibbs measures through analyticity
techniques, Helv. Phys. Acta, 68(7/8), pp.605-626.
Lorinczi, J and Vande Velde, K (1994) A note on the projection of Gibbs measures, J.
Stat. Phys, 77(3/4), pp.881-887.
Lorinczi, J (1994) Some results on the projected two-dimensional Ising model in. In
1993, Leuven, Belgium, Proceedings of the NATO Advanced Workshop 'On Three
Levels', tba, pp.373-380.
Lorinczi, J and Winnink, M (1993) Some results on almost Gibbs states. In eds, NBEA
(ed) Les Houches, 1992, Proceedings of the NATO Advanced Studies Institute
Workshop on Cellular Automata and Cooperative Systems, Kluwer, pp.423-432.
Lorinczi, J, Harko, T, Todor, E (1988) Kinetical modelling of tumour growth processes.
In Proceedings of the 12th Symposium of Computer Sciences, tba, Timisoara.