Rudenko Oleksii Volodymyrovych
Publications
1. A. V. Rudenko. On a property of singular measures. In Mathematics today ’01 (Russian), volume 12 of Mat. Segodnya, pages 118–123. Nauk.-Metod. Tsentr
Vishch. Osv., Kiev, 2001.
2. A. V. Rudenko. Approximation of densities of absolutely continuous components of measures in a Hilbert space by the Ornstein-Uhlenbeck semigroup. Ukraïn. Mat.
Zh., 56(12):1654–1664, 2004.
3. Alexey Rudenko. Existence of generalized local times for Gaussian random fields. Theory Stoch. Process, 12(28)(1-2):142–153, 2006.
4. Alexey V. Rudenko. Local time as an element of the Sobolev space. Theory Stoch. Process, 13(29)(3):65–79, 2007.
5. Oleksiy Rudenko. Ito-Wiener expansion and properties of local time for Gaussian random field (in Ukrainian). Mathematical Bulletin of the Shevchenko Scientific Society, 5:183–201, 2008.
6. Alexey Rudenko. Local time for Gaussian processes as an element of Sobolev space. Commun. Stoch. Anal., 3(2):223–247, 2009.
7. Alexey Rudenko. Some properties of the Ito-Wiener expansion of the solution of a stochastic differential equation and local times. Stochastic Processes and their Applications, 122(6):2454 – 2479, 2012.
8. A. Rudenko. Some uniform estimates for the transition density of a Brownian
motion on a Carnot group and their application to local times. Theory of Stoch.
Proc., 19(35)(1):62–90, 2014.
9. A. Rudenko. Intersection local times in L_2 for Markov processes. Theory of
Stoch. Proc., 24(40)(1):64--95, 2019.
10. A. Rudenko. An estimate for surface measure of small balls in Carnot groups.
Osaka J. Math., 57(2):425--450, 2020.
Vishch. Osv., Kiev, 2001.
2. A. V. Rudenko. Approximation of densities of absolutely continuous components of measures in a Hilbert space by the Ornstein-Uhlenbeck semigroup. Ukraïn. Mat.
Zh., 56(12):1654–1664, 2004.
3. Alexey Rudenko. Existence of generalized local times for Gaussian random fields. Theory Stoch. Process, 12(28)(1-2):142–153, 2006.
4. Alexey V. Rudenko. Local time as an element of the Sobolev space. Theory Stoch. Process, 13(29)(3):65–79, 2007.
5. Oleksiy Rudenko. Ito-Wiener expansion and properties of local time for Gaussian random field (in Ukrainian). Mathematical Bulletin of the Shevchenko Scientific Society, 5:183–201, 2008.
6. Alexey Rudenko. Local time for Gaussian processes as an element of Sobolev space. Commun. Stoch. Anal., 3(2):223–247, 2009.
7. Alexey Rudenko. Some properties of the Ito-Wiener expansion of the solution of a stochastic differential equation and local times. Stochastic Processes and their Applications, 122(6):2454 – 2479, 2012.
8. A. Rudenko. Some uniform estimates for the transition density of a Brownian
motion on a Carnot group and their application to local times. Theory of Stoch.
Proc., 19(35)(1):62–90, 2014.
9. A. Rudenko. Intersection local times in L_2 for Markov processes. Theory of
Stoch. Proc., 24(40)(1):64--95, 2019.
10. A. Rudenko. An estimate for surface measure of small balls in Carnot groups.
Osaka J. Math., 57(2):425--450, 2020.