Professor, Dr. of Phys. Math. Sci. Vladimir V. UCHAIKIN was born on 01.07.1941 in USSR and the head of the department of theoretical physics of Ulyanovsk State University, Russia. He is a known Russian scientist and pedagogue, an honored worker of Russian High School, a member the Council on the Complex Problem of Cosmic Rays of the Russian Academy of Sciences, and a member of the Russian Academy of Natural Sciences. He worked for Lomonossow’s Moscow State University and some other Russian universities, visited as an invited lecturer at Wrozlaw Polytechnik University (Poland), Nottingham Trent University (UK), Humboldt University, K. Weierstrass Institute, and Max Planck Institute (Germany), and served 2005–2006 асаdemic year as a visit professor in Case Western Reserve University (Ohio, USA).

• Introduction.- Cascade processes of high energy.- Forward (basic) equation for CP.- Backward (adjoint) equation.- Electrons and photons.- Analytical EPC theory.- EPC fluctuations theory.-Cascades in calorimeters.- SBCE method.- Monte Carlo modeling.- EAS structure.- Cherenkov radiation of EPC.- Transport in interstellar medium.- Relativistic EPC in intergalactic medium.-Conclusion: Cascade ages, similarity, universality.

Professor, Dr. of Phys. Math. Sci. Vladimir V. UCHAIKIN was born on 01.07.1941 in USSR and the head of the department of theoretical physics of Ulyanovsk State University, Russia. He is a known Russian scientist and pedagogue, an honored worker of Russian High School, a member the Council on the Complex Problem of Cosmic Rays of the Russian Academy of Sciences, and a member of the Russian Academy of Natural Sciences. He worked for Lomonossow’s Moscow State University and some other Russian universities, visited as an invited lecturer at Wrozlaw Polytechnik University (Poland), Nottingham Trent University (UK), Humboldt University, K. Weierstrass Institute, and Max Planck Institute (Germany), and served 2005–2006 асаdemic year as a visit professor in Case Western Reserve University (Ohio, USA).

• Introduction.- Cascade processes of high energy.- Forward (basic) equation for CP.- Backward (adjoint) equation.- Electrons and photons.- Analytical EPC theory.- EPC fluctuations theory.-Cascades in calorimeters.- SBCE method.- Monte Carlo modeling.- EAS structure.- Cherenkov radiation of EPC.- Transport in interstellar medium.- Relativistic EPC in intergalactic medium.-Conclusion: Cascade ages, similarity, universality.

Professor, Dr. of Phys. Math. Sci. Vladimir V. UCHAIKIN was born on 01.07.1941 in USSR and the head of the department of theoretical physics of Ulyanovsk State University, Russia. He is a known Russian scientist and pedagogue, an honored worker of Russian High School, a member the Council on the Complex Problem of Cosmic Rays of the Russian Academy of Sciences, and a member of the Russian Academy of Natural Sciences. He worked for Lomonossow’s Moscow State University and some other Russian universities, visited as an invited lecturer at Wrozlaw Polytechnik University (Poland), Nottingham Trent University (UK), Humboldt University, K. Weierstrass Institute, and Max Planck Institute (Germany), and served 2005–2006 асаdemic year as a visit professor in Case Western Reserve University (Ohio, USA).

• Introduction.- Cascade processes of high energy.- Forward (basic) equation for CP.- Backward (adjoint) equation.- Electrons and photons.- Analytical EPC theory.- EPC fluctuations theory.-Cascades in calorimeters.- SBCE method.- Monte Carlo modeling.- EAS structure.- Cherenkov radiation of EPC.- Transport in interstellar medium.- Relativistic EPC in intergalactic medium.-Conclusion: Cascade ages, similarity, universality.