Department of Mathematics

Dr. N. Yapage

Senior Lecturer Grade I

B.Sc University of Ruhuna, Sri Lanka
M.Sc The University of Electro-Communications, Japan
Ph.D The University of Electro-Communications , Japan

nihal@maths.ruh.ac.lk
0412227018/14101

Teaching
Research Interests
Publications
Awards
Admin Roles & Other Activities

AMT223b Applied Probability - 2019

IMT223b Applied Probability - 2019

MAM3113 Numerical Analysis - 2010

MAM3213 Applied Algebra - 2016

MAT111b Vector Analysis - 2020

MAT1142 Mathematics for Biology - 2019

MAT211b Linear Algebra - 2014

mat312b Real Analysis III - 2016

MSP4164 Analytical and Numerical Methods for PDEs - 2016

MSP4214 Mathematical Foundations of Quantum Mechanics / Special Topics in Mathematical Physics - 2010

MSP4224 Introduction to Stochastic Analysis - 2019

Mathematical Physics

Probability Theory

Statistical Information Theory & Applications

Quantum Information and Computation

Differential Geometrical Methods in Statistics

Theory of Complex Systems and Networks

Stochastic Anaylsis and Applications in Finance

Applied Mathematics

Journals

N. Yapage. A study on some geometrical and statistical properties of the continuous power-law distribution with a comparison of similar properties of a particular exponential distribution (Accepted to Journal of the National Science Foundation, Sri Lanka 2020).

Bandara S.M.G.S. and N. Yapage. A Study on Application of Markov random fields in image restoration and its efficiency (Accepted to Journal of University of Ruhuna, University of Ruhuna, Matara, Sri Lanka) 2020

De Siva P.D.D.C. and N. Yapage. Building an identity verification system with high security using elliptic curve digital signature algorithm and its social & commercial impact (in preparation).

N. Yapage. A comparison of Normal and Lognormal Distributions using Information Geometry together with the importance of Lognormal distribution in Financial Mathematics (in preparation).

E.B.S. Samarakoon, M.M.P. Mendis, N. Yapage. Analysis of Rainfall Distribution and Variation during the Southwest Monsoon in the Wet Zone of Sri Lanka. (Submitted to Sri Lankan Journal of Applied Statistics (SLJAS)), 2020

De Silva P. D. D. C., Yapage N. An Application of SYMMETRIC AND ASYMMETRIC ENCRYPTION SCHEMES SIMULTANEOUSLY FOR HIGH LEVEL SECURED ENCRYPTION: A real world experience (Journal version in preparation).

N. Yapage. Information geometrical derivation of naive mean-field approximation for quantum statistical models of general order (Accepted to Ruhuna Journal of Science, 2018).

N. Yapage. Mean field equations for higher-order quantum statistical models : an information geometric approach, 2012. arXiv:1202.5726v1 [quant-ph].

N. Yapage, H. Nagaoka. An information geometrical approach to the mean field approximation for quantum Ising spin models. Journal of Physics A: Mathematical and Theoretical 41, 2008, 065005.

Conference (Full)

N. Yapage. Information geometry of mean field approximation for third-order classical and quantum Boltzmann machines. Abstract accepted to the 38th Conference of the Middle European Cooperation in Statistical Physics 25-27 March 2013 at the ICTP, Trieste, Italy.

Conference (Abstracts)

N. Yapage. Information Processing in Bio Chemical Reaction Networks (in preparation).

N. Yapage. A comparison of Normal and LogNormal Distributions using Information Geometry, partial results presented at the Academic Sessions 2020, University of Ruhuna.

De Siva P.D.D.C. and N. Yapage. Building an identity verificatin system with high security using elliptic curve digital signature algorithm, RISTCON 2020, University of Ruhuna, Matara, Sri Lanka.

Bandara S.M.G.S. and N. Yapage. Application of Markov random fields in image restoration, RISTCON 2020, University of Ruhuna, Matara, Sri Lanka.

E.B.S. Samarakoon, M.M.P. Mendis, N. Yapage. TREND ANALYSIS ON SOUTHWEST MONSOON RAINFALL IN SRI LANKA USING DROUGHT INDICES. PGIS Research Congress, 2020

De Silva P. D. D. C., Yapage N. USING SYMMETRIC AND ASYMMETRIC ENCRYPTION SCHEMES SIMULTANEOUSLY FOR HIGH LEVEL SECURED ENCRYPTION. Second Asia International Conference on Multidisciplinary Research, 2020.

N. Yapage. An investigation on classical/quantum information functionals and diversity indices, RISTCON 2017, University of Ruhuna, Matara, Sri Lanka.

N. Yapage. A comparison of some Statistical and Geometrical properties of a Power law Distribution and a particular form of an Exponential Distribution, 2017. 14th Academic Sessions, Faculty of Engineering, University of Ruhuna, Hapugala, Galle, Sri Lanka.

N. Yapage. Some information measures of power-law distributions, 2014. Proceedings of 1st Ruhuna International Science and Technology Conference (RISTCON) Faculty of Science, University of Ruhuna, Matara, Sri Lanka.

M. W. S. Perera, N. Yapage. Successes and failures of Shor’s algorithm for large integer factorization : a numerical study, 2011, Proceedings of the annual research symposium, Faculty of Science, University of Ruhuna, Matara, Sri Lanka.

N. Yapage, H. Nagaoka. Information geometry of mean field approximation for quantum Boltzmann machines. Proceedings of the Asian Conference on Quantum Information Science (AQIS’06), Beijing, China, 143–144, 2006.

N. Yapage, H. Nagaoka. A Quantum Extension of Boltzmann machine: An information geometrical viewpoint. Proceedings of the ERATO (Exploratory Research for Advanced Technology) Conference on Quantum Information Science (EQIS’05), Tokyo, Japan, 204–205, 2005.

Books

A Mathematics Workbook for Undergraduate Non-Mathematics Students (version 1)

N. Yapage. Information Geometrical Study of Quantum Boltzmann Machines, Doctoral Thesis, University of Electro-Communications, Tokyo, Japan, 2008.

The Japanese Government Scholarship [Monbukagakusho] for Postgraduate Studies 2002

Scientific Training in Computational Physics, Technical University of Chemnitz, Germany, 2001 (October – December). Funded by DAAD; Supervisor: Prof. Rudolf A Roemer. 2001

Support for participating in the Hands-On Research in Complex Systems School at The Abdus Salam International Center for Theoretical Physics, Trieste, Italy (30 June - 11 July 2014), 2014

Head of Department - University of Ruhuna - from 2010-07-19 to 2014-10-25

Career Guidance Advisor - University of Ruhuna, Faculty of Science - from 2019-05-20 to 2020-05-19

Established the Ruhuna University Mathematics and Statistics Society in 2016 and served as the Senior Treasurer for three consecutive years. - University of Ruhuna - from 2016-10-20 to 2019-10-19

Department representative, Quality Assurance Cell, Faculty of Science. - University of Ruhuna - from 2018-01-01 to 2021-01-01

Joint Secretary, RISTCON 2018 & 2019. - University of Ruhuna, Faculty of Science - from 2018-03-30 to 2020-03-30

Student Counsellor (2008-2010 & 2016-2019) in the Faculty of Science. - University of Ruhuna, Faculty of Science - from 2008-10-05 to 2019-12-19

Academic Mentor in the Faculty of Science. - University of Ruhuna - from 2008-06-30 to 2020-05-19

Life Member-Sri Lanka Association for the Advancement of Science. - Sri Lanka Association for the Advancement of Science - from 2016-10-20 to 2021-01-01

Director, Operations Technical Secretariat (AHEAD Project) - University of Ruhuna - from 2020-07-01 to 2024-02-28

Dr. N. Yapage

Journals

Conference (Full)

Conference (Abstracts)

Books

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