{"id":13,"date":"2024-10-10T13:14:05","date_gmt":"2024-10-10T11:14:05","guid":{"rendered":"https:\/\/wpd.ugr.es\/~pdemas\/?page_id=13"},"modified":"2025-01-23T12:24:26","modified_gmt":"2025-01-23T11:24:26","slug":"jose-a-canizo-rincon","status":"publish","type":"page","link":"https:\/\/wpd.ugr.es\/~pdemas\/jose-a-canizo-rincon\/","title":{"rendered":"JOS\u00c9 ALFREDO CA\u00d1IZO RINC\u00d3N"},"content":{"rendered":"\n
\n

PEOPLE<\/strong><\/h2>\n\n\n\n

JOS\u00c9 ALFREDO CA\u00d1IZO RINC\u00d3N<\/strong><\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n
<\/div>\n\n\n\n

LINES OF RESEARCH<\/strong><\/h3>\n\n\n\n

My research work deals mainly with mathematical models in Biology and Physics. This includes theory of integro-differential equations, especially kinetic equations, coagulation and fragmentation models, Boltzmann equations as well as nonlocal PDE in several contexts. I am interested in the analytic properties of these models, their asymptotic behaviour and their related mathematical techniques.<\/p>\n\n\n\n

<\/div>\n\n\n\n

ARTICLES<\/strong><\/h3>\n\n\n
    \n
  1. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, N. Torres. Comparison principles and asymptotic behavior of delayed age-structured neuron models<\/strong>. Preprint<\/em> , 2025. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  2. R. Alonso, V. Bagland, J. A. Ca\u00f1izo, B. Lods, S. Throm. One-dimensional inelastic Boltzmann equation: Stability and uniqueness of self-similar L1-profiles for moderately hard potentials<\/strong>. arXiv preprint arXiv:2408.04069<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  3. J. A. Ca\u00f1izo, N. Tassi. A uniform-in-time nonlocal approximation of the standard Fokker-Planck equation<\/strong>. arXiv preprint arXiv:2407.03870<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  4. R. Alonso, V. Bagland, J. A. Ca\u00f1izo, B. Lods, S. Throm. Relaxation in Sobolev spaces and L1 spectral gap of the 1D dissipative Boltzmann equation with Maxwell interactions<\/strong>. arXiv preprint arXiv:2407.01628<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  5. J. A. Ca\u00f1izo, A. Ramos Lora. Discrete minimizers of the interaction energy in collective behavior: a brief numerical and analytic review<\/strong>. arXiv preprint arXiv:2403.00594<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  6. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, A. Ramos Lora. Sequence of pseudo-equilibria describes the long-time behaviour of the NNLIF model with large delay<\/strong>. Physical Review E.<\/em> 110(6),064308, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  7. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, A. Ramos Lora. On the asymptotic behavior of the NNLIF neuron model for general connectivity strength<\/strong>.  To appear in Communications in Mathematical Physics<\/em>, 2024. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  8. J. A. Ca\u00f1izo, S. Mischler. Harris-type results on geometric and subgeometric convergence to equilibrium for stochastic semigroups<\/strong>. Journal of Functional Analysis<\/em> 284 (7), 109830, 2023. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  9. R. J. Alonso, V. Bagland, J. A. Ca\u00f1izo, B. Lods, S. Throm. One-dimensional inelastic Boltzmann equation: Regularity\\& uniqueness of self-similar profiles for moderately hard potentials<\/strong>. arXiv preprint arXiv:2211.03446<\/em>, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  10. J. A. Ca\u00f1izo, G. L\u00f3pez, J. P\u00e9rez. IMAG, the Institute of Mathematics of the University of Granada<\/strong>. European Mathematical Society Magazine<\/em>, 34-37, 2022. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  11. Jos\u00e9 A. Ca\u00f1izo and Sebastian Throm. The scaling hypothesis for Smoluchowski\u2019s coagulation equation with bounded perturbations of the constant kernel<\/strong>. Journal of Differential Equations<\/em> 270:285-342, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  12. Jos\u00e9 A. Ca\u00f1izo, Pierre Gabriel and Havva Yolda\u015f. Spectral gap for the growth-fragmentation equation via Harris\u2019s Theorem<\/strong>. SIAM J. Math. Anal.<\/em> 53(5), 5185\u20135214, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  13. J. A. Ca\u00f1izo, B. Lods, S. Throm. Contractivity for Smoluchowski\u2019s coagulation equation with solvable kernels<\/strong>. Bulletin of the London Mathematical Society<\/em> 53 (1), 248-258, 2021. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  14. J. A. Ca\u00f1izo, C. Cao, J. Evans, H. Yolda\u015f. Hypocoercivity of linear kinetic equations via Harris\u2019s Theorem<\/strong>. Kinetic and Related Models<\/em> 13(1):97\u2013128, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  15. Jos\u00e9 A. Ca\u00f1izo, A. Einav, B. Lods. Uniform moment propagation for the Becker-D\u00f6ring equations<\/strong>. Proceedings of the Royal Society of Edinburgh Section A: Mathematics<\/em> 149 (4), 995-1015, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  16. J. A. Ca\u00f1izo, J. A. Carrillo, M. P\u00e1jaro. Exponential equilibration of genetic circuits using entropy methods<\/strong>. Journal of Mathematical Biology<\/em> 78 (1-2), 373-411, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  17. Jos\u00e9 A. Ca\u00f1izo and Havva Yolda\u015f. Asymptotic behaviour of neuron population models structured by elapsed-time<\/strong>. Nonlinearity<\/em> 32(2):464, 2019. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  18. J. A. Ca\u00f1izo Rinc\u00f3n, A. Molino Salas. Improved energy methods for nonlocal diffusion problems<\/strong>. American Institute of Mathematical Sciences (AIMS)<\/em>, 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  19. J. A. Ca\u00f1izo, A. Einav, B. Lods. On the rate of convergence to equilibrium for the linear Boltzmann equation with soft potentials<\/strong>. Journal of Mathematical Analysis and Applications<\/em> 462 (1), 801-839, 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  20. Jos\u00e9 A. Ca\u00f1izo and Francesco Patacchini. Discrete minimisers are close to continuum minimisers for the interaction energy<\/strong>. Calculus of Variations & PDE<\/em> 57(24), 2018. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  21. M. J. C\u00e1ceres, J. A. Ca\u00f1izo. Close-to-equilibrium behaviour of quadratic reaction\u2013diffusion systems with detailed balance<\/strong>. Nonlinear Analysis<\/em> 159, 62-84, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  22. Jos\u00e9 A. Ca\u00f1izo, Amit Einav and Bertrand Lods. Trend to Equilibrium for the Becker-D\u00f6ring Equations: An Analogue of Cercignani\u2019s Conjecture<\/strong>. Analysis & PDE<\/em>, 2017. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  23. J. A. Ca\u00f1izo, B. Lods. Exponential trend to equilibrium for the inelastic Boltzmann equation driven by a particle bath<\/strong>. Nonlinearity<\/em> 29 (5), 1687, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  24. J. A. Ca\u00f1izo, J. A. Carrillo, P. Lauren\u00e7ot, J. Rosado. The Fokker\u2013Planck equation for bosons in 2d: Well-posedness and asymptotic behavior<\/strong>. Nonlinear Analysis<\/em> 137, 291-305, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  25. Alethea B. T. Barbaro, Jos\u00e9 A. Ca\u00f1izo, Jos\u00e9 A. Carrillo and Pierre Degond. Phase transitions in a kinetic flocking model of Cucker-Smale type<\/strong>. Multiscale Modelling and Simulation<\/em> 14(3):1063\u20131088, 2016. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  26. J. A. Ca\u00f1izo, J. A. Carrillo and F. S. Patacchini. Existence of Compactly Supported Global Minimisers for the Interaction Energy<\/strong>. Archive for Rational Mechanics and Analysis<\/em> 217(3):1197\u20131217, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  27. Marzia Bisi, Jos\u00e9 A. Ca\u00f1izo and Bertrand Lods. Entropy dissipation estimates for the linear Boltzmann operator<\/strong>. Journal of Functional Analysis<\/em> 269(4):1028\u20131069, 2015. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  28. J. A. Ca\u00f1izo, L. Desvillettes and K. Fellner. Improved duality estimates and applications to reaction-diffusion equations<\/strong>. Communications in Partial Differential Equations<\/em> Vol. 39, No. 6, pp. 1185-1204, 2014. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  29. D. Balagu\u00e9, J. A. Ca\u00f1izo and P. Gabriel. Fine asymptotics of profiles and relaxation to equilibrium for growth-fragmentation equations with variable drift rates<\/strong>. Kinetic and Related Models<\/em> Vol. 6, No. 2, pp. 219-243, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  30. R. Alonso, J. A. Ca\u00f1izo, I. Gamba, C. Mouhot. A new approach to the creation and propagation of exponential moments in the Boltzmann equation<\/strong>. Communications in Partial Differential Equations<\/em> 38 (1), 155-169, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  31. B. Lods and J. A. Ca\u00f1izo. Exponential convergence to equilibrium for subcritical solutions of the Becker-D\u00f6ring equations<\/strong>. Journal of Differential Equations<\/em> Vol. 255, No. 5, pp. 905-950, 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  32. J. A. Ca\u00f1izo, J. A. Carrillo and S. Cuadrado. Measure solutions for some models in population dynamics<\/strong>. Acta Applicandae Mathematicae<\/em> Vol. 123, No. 1, pp. 141-156, February 2013. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  33. J. A. Ca\u00f1izo, J. A. Carrillo, M. E. Schonbek. Decay rates for a class of diffusive-dominated interaction equations<\/strong>. Journal of Mathematical Analysis and Applications<\/em> 389 (1), 541-557, 2012. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  34. M. Bisi, J. A. Ca\u00f1izo, B. Lods. Uniqueness in the Weakly Inelastic Regime of the Equilibrium State to the Boltzmann Equation Driven by a Particle Bath<\/strong>. SIAM Journal on Mathematical Analysis<\/em> 43, 2640, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  35. M. J. C\u00e1ceres, J. A. Ca\u00f1izo and S. Mischler. Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations<\/strong>. Journal de Math\u00e9mathiques Pures et Appliqu\u00e9es<\/em> Vol. 96, No. 4, pp. 334-362, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  36. M. J. C\u00e1ceres, J. A. Ca\u00f1izo, S. Mischler. Rate of convergence to self-similarity for the fragmentation equation in L^ 1 spaces<\/strong>. Communications in Applied and Industrial Mathematics<\/em> 1 (2), pp.299-308, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  37. J. A. Ca\u00f1izo, J. Carrillo and J. Rosado. A well-posedness theory in measures for some kinetic models of collective motion<\/strong>. Mathematical Models and Methods in Applied Sciences<\/em> Vol. 21, No. 3, pp. 515-539, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  38. F. Bolley, J. A. Ca\u00f1izo and J. Carrillo. Stochastic Mean-Field Limit: Non-Lipschitz Forces & Swarming<\/strong>. Mathematical Models and Methods in Applied Sciences<\/em> Vol. 21, No. 11, pp. 2179-2210, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  39. J. Carrillo, J. A. Ca\u00f1izo and F. Bolley. Mean-field limit for the stochastic Vicsek model<\/strong>. Applied Mathematics Letters<\/em> 25 (3), 339, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  40. J. A. Ca\u00f1izo, S. Mischler. Regularity, local behavior and partial uniqueness for self-similar profiles of Smoluchowski\u2019s coagulation equation<\/strong>. Revista Matem\u00e1tica Iberoamericana<\/em> 27 (3), 803-839, 2011. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  41. J. A. Ca\u00f1izo, L. Desvillettes, K. Fellner. Regularity and mass conservation for discrete coagulation\u2013fragmentation equations with diffusion<\/strong>. Annales de l\u2019IHP Analyse non lin\u00e9aire<\/em> 27 (2), 639-654, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  42. J. A. Ca\u00f1izo, S. Mischler, C. Mouhot. Rate of convergence to self-similarity for Smoluchowski\u2019s coagulation equation with constant coefficients<\/strong>. SIAM journal on mathematical analysis<\/em> 41 (6), 2283-2314, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  43. J. A. Ca\u00f1izo, L. Desvillettes, K. Fellner. Absence of gelation for models of coagulation-fragmentation with degenerate diffusion<\/strong>. Il Nuovo cimento della Societ\u00e0 italiana di fisica<\/em> 33 (1), 79, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  44. J. A. Ca\u00f1izo, J. A. Carrillo, J. Rosado. Collective behavior of animals: Swarming and complex patterns<\/strong>. Arbor<\/em> 186 (1035-1049), 1 46, 2010. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  45. J. A. Ca\u00f1izo. Convergence to equilibrium for the discrete coagulation-fragmentation equations with detailed balance<\/strong>. Journal of Statistical Physics<\/em> 129, 1-26, 2007. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  46. J. A. Ca\u00f1izo. Some problems related to the study of interaction kernels: coagulation, fragmentation and diffusion in kinetic and quantum equations<\/strong>. Universidad de Granada<\/em>, 2006. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  47. J. A. Ca\u00f1izo. Asymptotic behavior of the generalized Becker-D\u00f6ring equations for general initial data<\/strong>. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences<\/em> 461 (2064), 3731-3745, 2005. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  48. J. A. Ca\u00f1izo, J. L. L\u00f3pez, J. Nieto. Global L1 theory and regularity for the 3D nonlinear Wigner\u2013Poisson\u2013Fokker\u2013Planck system<\/strong>. Journal of Differential Equations<\/em> 198 (2), 356-373, 2004. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n\n
  49. J. C. Neu, J. A. Ca\u00f1izo, L. L. Bonilla. Three eras of micellization<\/strong>. Physical Review E<\/em> 66 (6), 061406 48, 2002. Journal<\/a> \u00b7 arXiv<\/a><\/li>\n<\/ol>\n\n\n\n
    <\/div>\n\n\n\n

    PARTICIPATION IN CONFERENCES<\/strong><\/h3>\n\n\n\n

    These are the most recent conferences i have participated in during the last 10 years:<\/p>\n\n\n\n

    <\/div>\n\n\n\n
      \n
    1. Interactions between partial differential equations & functional inequalities<\/strong><\/em>. Seminar at the Mittag-Leffler Institute, November 22, 2016, Stockholm, Sweden.<\/li>\n\n\n\n
    2. Asymptotic behaviour of the Becker-D\u00f6ring equations<\/strong><\/em>. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, 1\u20135 July 2016, Orlando, Florida, USA.<\/li>\n\n\n\n
    3. Recent advances on the theory of the Becker-D\u00f6ring equations<\/strong><\/em>. Two-hour minicourse, 8th Summer School on Methods & Models in Kinetic Theory, 5\u201311 June 2016, Porto Ercole, Italy.<\/li>\n\n\n\n
    4. Plenary speaker, Congreso Espa\u00f1ol de J\u00f3venes Investigadores<\/strong><\/em>. September 2015.<\/li>\n\n\n\n
    5. Entropy dissipation inequalities for the linear Boltzmann equation. Entropy Methods,<\/em> PDEs, Functional Inequalities, and Applications<\/strong>. 29 June \u2013 4 July 2014, Banff, Canada.<\/li>\n\n\n\n
    6. Asymptotic behavior for the Becker-D\u00f6ring equations. <\/em><\/strong>Classical and Quantum Mechanical Models of Many-Particle Systems. 1 \u2013 7 December 2013, Oberwolfach, Germany.<\/li>\n\n\n\n
    7. Asymptotic behavior for the aggregation-diffusion equations<\/strong><\/em>. Young Researchers Workshop: Kinetic and Macroscopic Models for Complex Systems. 14 \u2013 18 October 2013, College Park, Maryland, USA.<\/li>\n<\/ol>\n<\/div>\n","protected":false},"excerpt":{"rendered":"

      PEOPLE JOS\u00c9 ALFREDO CA\u00d1IZO RINC\u00d3N LINES OF RESEARCH My research work deals mainly with mathematical models in Biology and Physics. This includes theory of integro-differential equations, especially kinetic equations, coagulation and fragmentation models, Boltzmann equations as well as nonlocal PDE in several contexts. I am interested in the analytic properties of these models, their asymptotic […]<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"page-no-title","meta":{"footnotes":""},"_links":{"self":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/13"}],"collection":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/comments?post=13"}],"version-history":[{"count":5,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/13\/revisions"}],"predecessor-version":[{"id":124,"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/pages\/13\/revisions\/124"}],"wp:attachment":[{"href":"https:\/\/wpd.ugr.es\/~pdemas\/wp-json\/wp\/v2\/media?parent=13"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}