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Heat kernel estimates for stable-like processes on d-sets

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  1. Kim, Panki & Song, Renming & Vondraček, Zoran, 2013. "Potential theory of subordinate Brownian motions with Gaussian components," Stochastic Processes and their Applications, Elsevier, vol. 123(3), pages 764-795.
  2. Sztonyk, Pawel, 2011. "Transition density estimates for jump Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 121(6), pages 1245-1265, June.
  3. Jacob, Niels & Potrykus, Alexander & Wu, Jiang-Lun, 2010. "Solving a non-linear stochastic pseudo-differential equation of Burgers type," Stochastic Processes and their Applications, Elsevier, vol. 120(12), pages 2447-2467, December.
  4. Böttcher, Björn & Schilling, René L. & Wang, Jian, 2011. "Constructions of coupling processes for Lévy processes," Stochastic Processes and their Applications, Elsevier, vol. 121(6), pages 1201-1216, June.
  5. Kaleta, Kamil & Pietruska-Pałuba, Katarzyna, 2018. "Lifschitz singularity for subordinate Brownian motions in presence of the Poissonian potential on the Sierpiński gasket," Stochastic Processes and their Applications, Elsevier, vol. 128(11), pages 3897-3939.
  6. Feng-Yu Wang & Jian Wang, 2015. "Functional Inequalities for Stable-Like Dirichlet Forms," Journal of Theoretical Probability, Springer, vol. 28(2), pages 423-448, June.
  7. Wang, Jian, 2011. "Harnack inequalities for Ornstein-Uhlenbeck processes driven by Lévy processes," Statistics & Probability Letters, Elsevier, vol. 81(9), pages 1436-1444, September.
  8. Chen, Zhen-Qing & Peng, Jun, 2018. "Markov processes with darning and their approximations," Stochastic Processes and their Applications, Elsevier, vol. 128(9), pages 3030-3053.
  9. Kaleta, Kamil & Pietruska-Pałuba, Katarzyna, 2015. "Integrated density of states for Poisson–Schrödinger perturbations of subordinate Brownian motions on the Sierpiński gasket," Stochastic Processes and their Applications, Elsevier, vol. 125(4), pages 1244-1281.
  10. Kim, Kyung-Youn & Wang, Lidan, 2022. "Heat kernel bounds for a large class of Markov process with singular jump," Stochastic Processes and their Applications, Elsevier, vol. 145(C), pages 165-203.
  11. Chen, Zhen-Qing & Hu, Eryan, 2015. "Heat kernel estimates for Δ+Δα/2 under gradient perturbation," Stochastic Processes and their Applications, Elsevier, vol. 125(7), pages 2603-2642.
  12. Haruna Okamura & Toshihiro Uemura, 2021. "On Symmetric Stable-Type Processes with Degenerate/Singular Lévy Densities," Journal of Theoretical Probability, Springer, vol. 34(2), pages 809-826, June.
  13. Weidner, Marvin, 2023. "Markov chain approximations for nonsymmetric processes," Stochastic Processes and their Applications, Elsevier, vol. 158(C), pages 238-281.
  14. Viktorya Knopova & René L. Schilling, 2012. "Transition Density Estimates for a Class of Lévy and Lévy-Type Processes," Journal of Theoretical Probability, Springer, vol. 25(1), pages 144-170, March.
  15. Xie, Longjie, 2017. "Singular SDEs with critical non-local and non-symmetric Lévy type generator," Stochastic Processes and their Applications, Elsevier, vol. 127(11), pages 3792-3824.
  16. Renming Song, 2006. "Estimates on the Transition Densities of Girsanov Transforms of Symmetric Stable Processes," Journal of Theoretical Probability, Springer, vol. 19(2), pages 487-507, June.
  17. Wang, Linlin & Xie, Longjie & Zhang, Xicheng, 2015. "Derivative formulae for SDEs driven by multiplicative α-stable-like processes," Stochastic Processes and their Applications, Elsevier, vol. 125(3), pages 867-885.
  18. Xu, Fangjun, 2013. "Markov chain approximations to singular stable-like processes," Statistics & Probability Letters, Elsevier, vol. 83(3), pages 790-796.
  19. Cho, Soobin & Kim, Panki, 2021. "Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders," Stochastic Processes and their Applications, Elsevier, vol. 139(C), pages 229-279.
  20. Fangjun Xu, 2013. "Regularity of Harmonic Functions for Some Markov Chains with Unbounded Range," Journal of Theoretical Probability, Springer, vol. 26(2), pages 541-556, June.
  21. Masaki Wada, 2019. "Ergodic-Type Limit Theorem for Fundamental Solutions of Critical Schrödinger Operators," Journal of Theoretical Probability, Springer, vol. 32(1), pages 447-459, March.
  22. Masaki Wada, 2021. "Asymptotic Behavior of the Fundamental Solutions for Critical Schrödinger Forms," Journal of Theoretical Probability, Springer, vol. 34(4), pages 1951-1958, December.
  23. Chen, Zhen-Qing & Kim, Panki & Song, Renming, 2011. "Green function estimates for relativistic stable processes in half-space-like open sets," Stochastic Processes and their Applications, Elsevier, vol. 121(5), pages 1148-1172, May.
  24. Bass, Richard F. & Tang, Huili, 2009. "The martingale problem for a class of stable-like processes," Stochastic Processes and their Applications, Elsevier, vol. 119(4), pages 1144-1167, April.
  25. Andres, Sebastian & Croydon, David A. & Kumagai, Takashi, 2024. "Heat kernel fluctuations and quantitative homogenization for the one-dimensional Bouchaud trap model," Stochastic Processes and their Applications, Elsevier, vol. 172(C).
  26. Paweł Sztonyk, 2010. "Estimates of Tempered Stable Densities," Journal of Theoretical Probability, Springer, vol. 23(1), pages 127-147, March.
  27. Li, Kexue, 2017. "Hölder continuity for stochastic fractional heat equation with colored noise," Statistics & Probability Letters, Elsevier, vol. 129(C), pages 34-41.
  28. Chen, Xin & Wang, Jian, 2014. "Functional inequalities for nonlocal Dirichlet forms with finite range jumps or large jumps," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 123-153.
  29. Peng Jin, 2021. "Uniqueness in Law for Stable-Like Processes of Variable Order," Journal of Theoretical Probability, Springer, vol. 34(2), pages 522-552, June.
  30. Ante Mimica, 2013. "Harnack Inequality and Hölder Regularity Estimates for a Lévy Process with Small Jumps of High Intensity," Journal of Theoretical Probability, Springer, vol. 26(2), pages 329-348, June.
  31. Kim, Panki, 2006. "Weak convergence of censored and reflected stable processes," Stochastic Processes and their Applications, Elsevier, vol. 116(12), pages 1792-1814, December.
  32. Chen, Xin & Chen, Zhen-Qing & Wang, Jian, 2020. "Heat kernel for non-local operators with variable order," Stochastic Processes and their Applications, Elsevier, vol. 130(6), pages 3574-3647.
  33. Yuichi Shiozawa & Toshihiro Uemura, 2014. "Explosion of Jump-Type Symmetric Dirichlet Forms on ℝ d," Journal of Theoretical Probability, Springer, vol. 27(2), pages 404-432, June.
  34. Yuichi Shiozawa, 2023. "Transience of symmetric nonlocal Dirichlet forms," Mathematische Nachrichten, Wiley Blackwell, vol. 296(5), pages 2121-2149, May.
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