Woyczyński, Wojbor A. Diffusion processes, jump processes, and stochastic differential equations. (English) Zbl 1491.60004 Boca Raton, FL: CRC Press (ISBN 978-1-032-10067-8/hbk; 978-1-032-10727-1/pbk; 978-1-003-21675-9/ebook). xi, 126 p. (2022). MSC: 60-02 60J60 60J74 60J76 60H10 60H15 PDFBibTeX XMLCite \textit{W. A. Woyczyński}, Diffusion processes, jump processes, and stochastic differential equations. Boca Raton, FL: CRC Press (2022; Zbl 1491.60004) Full Text: DOI
Woyczynski, Wojbor A. Nonlinear PDE’s driven by Lévy diffusions and related statistical issues. (English) Zbl 1097.35126 Waymire, Edward C. (ed.) et al., Probability and partial differential equations in modern applied mathematics. Selected papers presented at the 2003 IMA summer program, Minneapolis, MN, USA, July 21 – August 1, 2003. New York, NY: Springer (ISBN 0-387-25879-5/hbk). The IMA Volumes in Mathematics and its Applications 140, 247-258 (2005). MSC: 35R60 47J35 60H15 PDFBibTeX XMLCite \textit{W. A. Woyczynski}, IMA Vol. Math. Appl. 140, 247--258 (2005; Zbl 1097.35126)
Leonenko, Nikolai N.; Woyczynski, Wojbor A. Parameter identification for stochastic Burgers’ flows via parabolic rescaling. (English) Zbl 1075.62627 Probab. Math. Stat. 21, No. 1, 1-55 (2001). MSC: 62M40 60G60 60H15 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{W. A. Woyczynski}, Probab. Math. Stat. 21, No. 1, 1--55 (2001; Zbl 1075.62627)
Leonenko, Nikolai N.; Woyczynski, Wojbor A. Parameter identification for singular random fields arising in Burgers’ turbulence. (English) Zbl 0986.62077 J. Stat. Plann. Inference 80, No. 1-2, 1-13 (1999). MSC: 62M40 62M15 60H15 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{W. A. Woyczynski}, J. Stat. Plann. Inference 80, No. 1--2, 1--13 (1999; Zbl 0986.62077) Full Text: DOI
Leonenko, Nikolai N.; Woyczynski, Wojbor A. Parameter estimation of random fields arising in three-dimensional Burgers’ turbulence. (English) Zbl 0963.62091 Butković, D. (ed.) et al., Functional analysis V. Proceedings of the postgraduate school and conference held at the Inter-University Centre, Dubrovnik, Croatia, September 14-28, 1997. Vol. I. Aarhus: Aarhus Universitet, Var. Publ. Ser., Aarhus Univ. 44, 61-69 (1998). MSC: 62M40 60H15 62M15 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{W. A. Woyczynski}, Var. Publ. Ser., Aarhus Univ. 44, 61--69 (1998; Zbl 0963.62091)
Leonenko, Nikolai N.; Woyczynski, Wojbor A. Scaling limits of solutions of the heat equation for singular non-Gaussian data. (English) Zbl 0926.60054 J. Stat. Phys. 91, No. 1-2, 423-438 (1998). Reviewer: D.Nualart (Barcelona) MSC: 60H15 35K05 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{W. A. Woyczynski}, J. Stat. Phys. 91, No. 1--2, 423--438 (1998; Zbl 0926.60054) Full Text: DOI
Woyczyński, Wojbor A. Burgers-KPZ turbulence. Göttingen lectures. (English) Zbl 0919.60004 Lecture Notes in Mathematics. 1700. Berlin: Springer. xi, 318 p. (1998). Reviewer: N.Leonenko (Kyïv) MSC: 60-02 60H15 60G60 60K40 PDFBibTeX XMLCite \textit{W. A. Woyczyński}, Burgers-KPZ turbulence. Göttingen lectures. Berlin: Springer (1998; Zbl 0919.60004) Full Text: DOI
Leonenko, Nikolai N.; Woyczynski, Wojbor A. Statistical inference for long-memory random fields. (English) Zbl 0932.62108 Theory Stoch. Process. 3(19), No. 1-2, 55-63 (1997). Reviewer: A.V.Swishchuk (Kyïv) MSC: 62M40 62M15 60H15 60G60 PDFBibTeX XMLCite \textit{N. N. Leonenko} and \textit{W. A. Woyczynski}, Theory Stoch. Process. 3(19), No. 1--2, 55--63 (1997; Zbl 0932.62108)
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. The large-scale structure of the universe and quasi-Voronoi tessellation of shock fronts in forced Burgers turbulence in \(\mathbb{R}^d\). (English) Zbl 0895.60066 Ann. Appl. Probab. 7, No. 1, 200-228 (1997). MSC: 60H15 60G60 60K40 70K40 76L05 83F05 35Q53 PDFBibTeX XMLCite \textit{S. A. Molchanov} et al., Ann. Appl. Probab. 7, No. 1, 200--228 (1997; Zbl 0895.60066) Full Text: DOI
Funaki, T.; Surgailis, D.; Woyczynski, W. A. Gibbs-Cox random fields and Burgers turbulence. (English) Zbl 0838.60016 Ann. Appl. Probab. 5, No. 2, 461-492 (1995). Reviewer: A.V.Bulinskij (Moskva) MSC: 60F05 60H15 76F20 PDFBibTeX XMLCite \textit{T. Funaki} et al., Ann. Appl. Probab. 5, No. 2, 461--492 (1995; Zbl 0838.60016) Full Text: DOI
Molchanov, S. A.; Surgailis, D.; Woyczynski, W. A. Hyperbolic asymptotics in Burgers’ turbulence and extremal processes. (English) Zbl 0818.60046 Commun. Math. Phys. 168, No. 1, 209-226 (1995). MSC: 60H15 35Q53 PDFBibTeX XMLCite \textit{S. A. Molchanov} et al., Commun. Math. Phys. 168, No. 1, 209--226 (1995; Zbl 0818.60046) Full Text: DOI
Surgailis, Donatas; Woyczynski, Wojbor A. Burgers’ topology on random point measures. (English) Zbl 0860.60065 Hoffmann-Jørgensen, Jørgen (ed.) et al., Probability in Banach spaces, 9: Proceedings from the 9th international conference on probability in Banach spaces, held at Sandbjerg, Denmark, August 16-21, 1993. Boston, MA: Birkhäuser. Prog. Probab. 35, 209-221 (1994). Reviewer: P.Krapivsky (Boston) MSC: 60J70 60B10 76M20 60H15 PDFBibTeX XMLCite \textit{D. Surgailis} and \textit{W. A. Woyczynski}, Prog. Probab. 35, 209--221 (1994; Zbl 0860.60065)
Hu, Yiming; Woyczyński, W. A. An extremal rearrangement property of statistical solutions of Burgers’ equation. (English) Zbl 0805.60053 Ann. Appl. Probab. 4, No. 3, 838-858 (1994). MSC: 60H15 35K55 76F99 PDFBibTeX XMLCite \textit{Y. Hu} and \textit{W. A. Woyczyński}, Ann. Appl. Probab. 4, No. 3, 838--858 (1994; Zbl 0805.60053) Full Text: DOI
Surgailis, Donatas; Woyczynski, Wojbor A. Burgers’ equation with non-local shot noise data. (English) Zbl 0804.60049 J. Appl. Probab. 31A, Spec. Vol., 351-362 (1994). MSC: 60H15 70L05 PDFBibTeX XMLCite \textit{D. Surgailis} and \textit{W. A. Woyczynski}, J. Appl. Probab. 31A, 351--362 (1994; Zbl 0804.60049) Full Text: DOI
Surgailis, D.; Woyczyński, W. A. Long range prediction and scaling limit for statistical solutions of the Burgers’ equation. (English) Zbl 0806.35164 Fitzmaurice, N. (ed.) et al., Nonlinear waves and weak turbulence with applications in oceanography and condensed matter physics. Outgrowth of the NSF-CBMS conference held at Case Western Reserve University, Cleveland, OH, USA, May 1992. Boston, MA: Birkhäuser. Prog. Nonlinear Differ. Equ. Appl. 11, 313-338 (1993). MSC: 35Q53 60H15 35R60 PDFBibTeX XMLCite \textit{D. Surgailis} and \textit{W. A. Woyczyński}, Prog. Nonlinear Differ. Equ. Appl. 11, 313--338 (1993; Zbl 0806.35164)