Lucian Beznea

Ph.D.:

University of Bucharest, 1990.

Member:

AMS, Societatea Matematicienilor din Romania.

Field of interest:

Potential theory, with both analytic and probabilistic aspects.

List of Academic Publications:

Books

Potential Theory and Right Processes (Mathematics and Its Applications, vol. 572) Kluwer Academic Publishers 2004, 376 pag. (with N. Boboc)

Edited volumes

Fifty Years of Modern Potential Theory in Bucharest - To the Anniversary of Nicu Boboc. Editura Universitatii din Bucuresti 2004, 64 pag. (with Gh. Bucur)

Current Trends in Potential Theory - Conference Proceedings, Bucharest, September 2002 and 2003. Theta Foundation Bucharest, 2005. (with D. Bakry, Gh. Bucur and M. R\"ockner)

Research articles

A topological characterization of complete distributive lattices. Discrete Math. 49 (1984), 117-120

Order completion condition for the cone of increasing continuous functions on an ordered compact space. Revue Roumaine Math. Pures Appl. 31 (1986), 183-187

Absolutely continuous potential kernels on homogeneous spaces. St. Cercet. Mat. 38 (1986), 264-283

Parabolic and elliptic parts in standard H-cones of functions. Revue Roumaine Math. Pures Appl. 32 (1987), 875-880

Ultrapotentials and positive eigenfunctions for an absolutely continuous resolvent of kernels. Nagoya Math. J. 112 (1988), 125-142

Teoria potentialului - clasificari în conuri de potentiale. Doctoral Thesis, Universitatea din Bucuresti, 1990, 105 p.

Potential type subordinations. Revue Roumaine Math. Pures Appl. 36 (1991), 115-135

Balayages absorbants, paraboliques, elliptiques et quasii elliptiques dans la théorie du potentiel; relation avec la fonction de Green. C.R. Acad. Sci. Paris, t. 315, Série I (1992), 685-688 (with N. Boboc)

Absorbent, parabolic, elliptic and quasielliptic balayages in potential theory. Revue Roumaine Math. Pures Appl. 38 (1993), 197-234 (with N. Boboc)

Absorbent, parabolic, elliptic and quasielliptic balayages in potential theory; II. Revue Roumaine Math. Pures Appl. 39 (1994), 197-210 (with N. Boboc)

Absorbent, parabolic, elliptic and quasielliptic balayages in potential theory; relationships with the Green function. Potential Analysis 4 (1995), 101-117 (with N. Boboc)

Duality and biduality for excessive measures. Revue Roumaine Math. Pures Appl. 39 (1994), 419-438 (with N. Boboc)

Excessive functions and excessive measures: Hunt's theorem on balayages, quasi-continuity; in Classical and Modern Potential Theory and Applications, NATO ASI Series C 430, Kluwer (1994), 77-92 (with N. Boboc)

From diffusions to processes with jumps; in Probability Theory and Mathematical Statistics, Proceedings of the Sixth Vilnius Conference (1993). p. 53-74, TEV/VSP, The Netherlands, 1994 (with L. Stoica)

On the integral representation for excessive measures. Revue Roumaine Math. Pures Appl. 40 (1995), 725-734 (with N. Boboc)

Quasi-boundedness and subtractivity; applications to excessive measures. Potential Analysis 5 (1996), 467-485 (with N. Boboc)

Once more about the semipolar sets and regular excessive functions; in Potential Theory - ICPT 94, Walter de Gruyter 1996, 255-274 (with N. Boboc)

Représentations des balayages sur les mesures excessives et versions de la propriete de Lindelöf. C.R. Acad. Sci. Paris. t. 322, Série I (1996), 1033-1036 (with N. Boboc)

Kuran's regularity criterion and localization in excessive structures. Bull. London Math. Soc. 28 (1996), 273-282 (with N. Boboc)

Condensation points for the fine topology. Analysis 17 (1997), 13-23 (with N. Boboc)

Balayages on excessive measures, their representation and the quasi-Lindelöf property. Potential Analysis 7 (1997), 805-825 (with N. Boboc)

On the trajectories of stochastic evolution of interacting particle systems. Revue Roumaine Math. Pures Appl. 43 (1998),  521-531  (with L. Stoica)

Quasi bounded excessive functions and Revuz measures; in Analysis and Topology (A volume dedicated to the memory of S. Stoilow). World Scientific 1998, 151-163 (with N. Boboc)

Noyaux fortement surmedians et mesures de Revuz. C.R. Acad. Sci. Paris. t. 327 (1998), Série I, 139-142 (with N. Boboc)

 Feyel's techniques on the supermedian functionals and strongly supermedian functions. Potential Analysis 10 (1999), 347-372 (with N. Boboc)

 Excessive kernels and Revuz measures. Probability Theory and Related Fields 117 (2000), 267-288 (with N. Boboc)

Strongly supermedian kernels and Revuz measures. The Annals of Probability 29 (2001), 418-436 (with N. Boboc)

Smooth measures and regular  strongly supermedian kernels generating sub-Markovian resolvents. Potential Analysis 15 (2001), 77-87 (with N. Boboc)

Sub-Markovian resolvents under weak duality hypothesis. Probability Theory and Related Fields 126 (2003), 339-363 (with N. Boboc)

Fine densities for excessive measures and the Revuz correspondence. Potential Analysis 20 (2004), 61-83 (with N. Boboc)

On the strongly supermedian functions and kernels. Potential Analysis 22 (2005), 127-132 (with N. Boboc)

On the tightness of capacities associated with sub-Markovian resolvents. Bull. London Math. Soc. 37 (2005), 1-9 (with N. Boboc)

Quasi regular L^p resolvents and Dirichlet forms on measurable spaces. Potential Analysis 25 (2006), 269-282 (with N. Boboc and M. R\"ockner)

Research project