Jani Lukkarinen - Publications

The links after the publications are to electronic pre- and reprints of the articles when available. The preprints can be usually found in the arXiv.org preprint server. Links to reprints are from the publisher's pages and, although they might be easier to read (we-ell, at least they are prettier), they might also be subject to a restricted access. If only a publisher has been given, use the search engine on the page to find the reprint.

Recent results (kinetic theory, phonons, lattice systems, etc.)

1. J. Bandyopadhyay, J. Lukkarinen, Smoothing Properties of a Linearization of the Three Waves Collision Operator in the bosonic Boltzmann-Nordheim Equation,
   J. Functional Analysis 286(5) (2024) 110289, 132 pages [preprint: arXiv:2301.03633, publisher: Elsevier (reprint)]
2. M. A. Ferreira, E. Franco, J. Lukkarinen, A. Nota, J. J. L. Velázquez, Coagulation equations with source leading to anomalous self-similarity,
   J. Phys. A: Math. Theor. 56 (2023) 485002 [preprint: arXiv:2305.16921, publisher: IOP (reprint)]
3. M. A. Ferreira, J. Lukkarinen, A. Nota, J. J. L. Velázquez, Non-power law constant flux solutions for the Smoluchowski coagulation equation,
   accepted for publication in SIAM Journal on Mathematical Analysis (SIMA), preprint (2022) 35 pages [preprint: arXiv:2207.09518, publisher: SIAM]
4. M. A. Ferreira, J. Lukkarinen, A. Nota, J. J. L. Velázquez, Asymptotic localization in multicomponent mass conserving coagulation equations,
   preprint (2022) 33 pages [preprint: arXiv:2203.08076]
5. G. Barrera, J. Lukkarinen, Quantitative control of Wasserstein distance between Brownian motion and the Goldstein-Kac telegraph process,
   Ann. Inst. H. Poincaré Probab. Statist. 59 (2023) 933-982 [preprint: arXiv:2201.00422, publisher: IHP (reprint)]
6. M. A. Ferreira, J. Lukkarinen, A. Nota, J. J. L. Velázquez, Non-equilibrium Stationary Solutions for Multicomponent Coagulation Systems with Injection (first title: Multicomponent coagulation systems: existence and non-existence of stationary non-equilibrium solutions),
   J. Stat. Phys. 190 (2023) 98 [preprint: arXiv:2103.12763, publisher: Springer (reprint)]
7. M. A. Ferreira, J. Lukkarinen, A. Nota, J. J. L. Velázquez, Localization in stationary non-equilibrium solutions for multicomponent coagulation systems,
   Commun. Math. Phys. 388 (2021) 479-506 [preprint: arXiv:2006.14840, publisher: Springer (reprint)]
8. M. A. Ferreira, J. Lukkarinen, A. Nota, J. J. L. Velázquez, Stationary non-equilibrium solutions for coagulation systems,
   Arch. Ration. Mech. Anal. 240 (2021) 809-875 [preprint: arXiv:1909.10608, publisher: Springer (reprint)]
9. F. Huveneers, J. Lukkarinen, Pre-thermalization in a classical phonon field: slow relaxation of the number of phonons,
   Phys. Rev. Research 2 (2020) 022034(R), 6 + 12 pages [preprint: arXiv:2002.10868, publisher: APS (reprint)]
10. K. Koskinen, J. Lukkarinen, Estimation of Local Microcanonical Averages in Two Lattice Mean-Field Models Using Coupling Techniques,
    J. Stat. Phys. 180 1206-1251 (2020) [preprint: arXiv:2001.03047, publisher: Springer (reprint)]
11. J. Lukkarinen, Multi-state condensation in Berlin-Kac spherical models,
    Commun. Math. Phys. 373(1) (2020) 389-433 [preprint: arXiv:1806.01806, publisher: Springer (reprint)]
12. J. Lukkarinen, M. Marcozzi and A. Nota, Summability of Connected Correlation Functions of Coupled Lattice Fields,
    J. Stat. Phys. 171(2) (2018) 189-206 [preprint: arXiv:1601.08163, publisher: Springer (reprint)]
13. J. Lukkarinen, Kinetic theory and thermalization of weakly interacting fermions,
    In: Cadamuro D., Duell M., Dybalski W., Simonella S. (eds) Macroscopic Limits of Quantum Systems, MaLiQS 2017. Springer Proceedings in Mathematics & Statistics, vol 270 (2018) pp 1-28 [preprint: arXiv:1712.06290, publisher: Springer (reprint)]
14. C. B. Mendl, J. Lu and J. Lukkarinen, Thermalization of oscillator chains with onsite anharmonicity and comparison with kinetic theory,
    Phys. Rev. E 94 (2016) 062104 (9 pp) [preprint: arXiv:1608.08308, publisher: APS (reprint)]
15. J. Lukkarinen, M. Marcozzi and A. Nota, Harmonic chain with velocity flips: thermalization and kinetic theory,
    J. Stat. Phys. 165 (2016) 809-844 [preprint: arXiv:1604.08135, publisher: Springer (reprint)]
16. J. Lukkarinen, Kinetic theory of phonons in weakly anharmonic particle chains,
    in "Thermal transport in low dimensions: from statistical physics to nanoscale heat transfer" (S. Lepri ed.),
    Lecture Notes in Physics vol. 921 (2016) pp. 159-214 [publisher: Springer, preprint: arXiv:1509.06036]
17. J. Lukkarinen and M. Marcozzi, Wick polynomials and time-evolution of cumulants,
    J. Math. Phys. 57 (2016) 083301 (27pp) [preprint: arXiv:1503.05851, publisher: AIP (reprint)]
18. M. L. R. Fürst, J. Lukkarinen, P. Mei and H. Spohn, Derivation of a matrix-valued Boltzmann equation for the Hubbard model,
    J. Phys. A: Math. Theor. 46 (2013) 485002 (16pp) [preprint: arXiv:1306.0934, publisher: IOP (reprint)]
19. J. Lukkarinen, P. Mei and H. Spohn, Global well-posedness of the spatially homogeneous Hubbard-Boltzmann equation,
    Comm. Pure Appl. Math. 68 (2015) 758-807 [preprint: arXiv:1212.2575, publisher: Wiley (reprint)]
20. J. Lukkarinen and H. Spohn, Weakly nonlinear Schrödinger equation with random initial data,
    Invent. Math. 183 (2011) 79-188 [preprint: arXiv:0901.3283, publisher: Springer (reprint)]
21. J. Lukkarinen and H. Spohn, Not to normal order - Notes on the kinetic limit for weakly interacting quantum fluids,
    J. Stat. Phys. 134 (2009) 1133-1172 [preprint: arXiv:0807.5072, publisher: Springer (reprint)]
22. J. Lukkarinen and H. Spohn, Anomalous energy transport in the FPU-beta chain,
    Comm. Pure Appl. Math. 61 (2008) 1753-1786 [preprint: arXiv:0704.1607, publisher: Wiley (reprint)]
23. L. Harris, J. Lukkarinen, S. Teufel, and F. Theil, Energy transport by acoustic modes of harmonic lattices,
    SIAM J. Math. Anal. 40 (2008) 1392-1418 [preprint: math-ph/0611052, publisher: SIAM (reprint)]
24. J. Lukkarinen, Asymptotics of resolvent integrals: The suppression of crossings for analytic lattice dispersion relations,
    J. Math. Pures Appl. 87 (2007) 193-225 [preprint: math-ph/0604049, publisher: Elsevier (reprint)]
25. J. Lukkarinen and H. Spohn, Kinetic Limit for Wave Propagation in a Random Medium,
    Arch. Ration. Mech. Anal. 183 (2007) 93-162 [preprint: math-ph/0505075, publisher: Springer (reprint)]
26. K. Aoki, J. Lukkarinen, and H. Spohn, Energy Transport in Weakly Anharmonic Chains,
    J. Stat. Phys. 124 (2006) 1105-1129 [preprint: cond-mat/0602082, publisher: Springer (reprint)]

Statistical mechanics (mainly non-equilibrium)

1. J. Lukkarinen, Thermalization in harmonic particle chains with velocity flips,
   J. Stat. Phys. 155 (2014) 1143-1177 [preprint: arXiv:1308.4901, publisher: Springer (reprint)]
2. J. Lukkarinen, Energy fluctuations, hydrodynamics and local correlations in harmonic systems with bulk noises,
   Phys. Scr. 86 (2012) 058507, 6 pp. [preprint: arXiv:1206.0168, publisher: IOP (reprint)]
3. C. Bernardin, V. Kannan, J.L. Lebowitz, and J. Lukkarinen, Harmonic Systems with Bulk Noises,
   J. Stat. Phys. 146 (2012) 800-831 [preprint: arXiv:1110.5432, publisher: Springer (reprint)]
4. C. Bernardin, V. Kannan, J.L. Lebowitz, and J. Lukkarinen, Nonequilibrium Stationary States of Harmonic Chains with Bulk Noises,
   Eur. Phys. J. B 84 (2011) 685-689 [preprint: arXiv:1109.1993, publisher: Springer (reprint)]
5. F. Bonetto, J. L. Lebowitz, J. Lukkarinen, and S. Olla, Heat Conduction and Entropy Production in Anharmonic Crystals with Self-Consistent Stochastic Reservoirs,
   J. Stat. Phys. 134 (2009) 1097-1119 [preprint: arXiv:0809.0953, publisher: Springer (reprint)]
6. H.-O. Georgii, J. Lorinczi, and J. Lukkarinen, The Continuum Potts Model at the Disorder-Order Transition -- a Study by Cluster Dynamics,
   J. Stat. Mech. (2005) P06011 [preprint: math-ph/0502037, publisher: IOP (reprint)]
7. F. Bonetto, J. L. Lebowitz, and J. Lukkarinen, Fourier's Law for a Harmonic Crystal with Self-consistent Stochastic Reservoirs,
   J. Stat. Phys. 116 (2004) 783-813 [preprint: math-ph/0307035, publisher: Springer (reprint)]

Quantum mechanics and statistics

1. P. L. Garrido, S. Goldstein, J. Lukkarinen, and R. Tumulka, Paradoxical Reflection in Quantum Mechanics,
   Am. J. Phys. 79 (2011) 1218-1231 [preprint: arXiv:0808.0610, publisher: AAPT (reprint)]
2. J. Lukkarinen, Lattice approximation of quantum statistical traces at a complex temperature,
   J. Math. Phys. 39 (1998) 3670-3677 [preprint: hep-th/9710117, reprint: AIP]
3. J. Lukkarinen, Derivation and improvements of the quantum canonical ensemble from a regularized microcanonical ensemble,
   J. Phys. A: Math. Gen. 32 (1999) 287-300 [preprint: cond-mat/9809102, reprint: IOP]
4. J. Lukkarinen, Using lattice methods in non-canonical quantum statistics,
   Nucl. Phys. B (Proc. Suppl.) 83-84 (2000) 959-961 [preprint: hep-lat/9908004, reprint: Elsevier]
5. J. Lukkarinen, Lattice computation of energy moments in canonical and Gaussian quantum statistics,
   J. Phys. A: Math. Gen. 33 (2000) 4227-4247 [preprint: cond-mat/0001349, reprint: IOP]
6. J. Lukkarinen, On the use of non-canonical quantum statistics,
   J. Phys. A: Math. Gen. 33 (2000) 7067-7091 [preprint: cond-mat/9911027, reprint: IOP]

Finance and related

1. J. Lukkarinen and M. S. Pakkanen, Arbitrage without borrowing or short selling?,
   Math. Finan. Econ. 11 (2017) 263-274 [preprint: arXiv:1604.07690, reprint: Springer]
2. A. Tanskanen, J. Lukkarinen and K. Vatanen, Random selection of factors preserves the correlation structure in a linear factor model to a high degree,
   PLoS ONE (2018) 13(12): e0206551 [preprint: arXiv:1604.05896, publisher: PLoS (reprint, open access)]
3. J. Lukkarinen and M. S. Pakkanen, On the positivity of Riemann-Stieltjes integrals,
   Bull. Aust. Math. Soc. 87 (2013) 400-405 [preprint: arXiv:1203.5276, publisher: Cambridge UP (reprint)]
   Corrigenda, Bull. Aust. Math. Soc. 89 (2014) 524-524 [publisher: Cambridge UP (reprint)]
4. A. J. Tanskanen and J. Lukkarinen, Fair valuation of path-dependent participating life insurance contracts,
   Insurance: Mathematics and Economics 33 (2003) 595-609 [reprint: Elsevier]

Lattice QCD (fitting of correlated data)

1. A. M. Green, J. Lukkarinen, P. Pennanen, C. Michael and S. Furui, Four-quark energies in SU(2) lattice Monte Carlo using a tetrahedral geometry,
   Nucl. Phys. B (Proc. Suppl.) 42 (1995) 249-251 [preprint: hep-lat/9412029, reprint: Elsevier]
2. A. M. Green, J. Lukkarinen, P. Pennanen and C. Michael, Study of degenerate four-quark states with SU(2) lattice Monte Carlo techniques,
   Phys. Rev. D 53 (1996) 261-272 [preprint: hep-lat/9508002, reprint: APS]

PhD thesis

• J. Lukkarinen, Statistical analysis of finite equilibrium quantum systems (University of Helsinki, 2001),
  Thesis introduction can be found in the e-thesis service of the University of Helsinki.
  
• Included publications: (detailed references above)
  I. hep-th/9710117, II. cond-mat/9809102, III. cond-mat/0001349, IV. cond-mat/9911027

Miscellanea

1. K. Auranen, J. Lukkarinen, J. Seppänen, and S. Vänskä (eds.), Sovelletun matematiikan harjoitustyökokoelma (a collection of undergraduate level projects in applied mathematics, in Finnish),
   Rolf Nevanlinna Institute research reports C36 (2001).
2. J. Lukkarinen, Electron trajectory computations using a triangular lattice in 2 or 3 dimensions,
   Rolf Nevanlinna Institute research reports C37 (2001)