## Jerzy Kocik

Preprints Papers Talks Back to the main page

## PAPERS (see PREPRINTS)

Coupled-ring resonance and unitary groups(with M. Sayeh),The Journal of the Optical Society of America B,36(3), 2019, 667-673.

[arXiv:1807.06773]

Skein relations for spin networks, modified,Journal of Knot Theory and Its Ramifications,27(7) 2018

[arXiv:1807.07244 ]

Casimir energy of Sierpinski triangles(with K.V. Shajesh, P. Parashar, I. Cavero-Pelaez, and I. Brevik),Phys. Rev. D,96, Nov 2017, eid 105010

[arXiv:1709.06284]

Krawtchouk matrices from the Feynman path integral and from the split quaternions,Contemporary Mathematics,668, 2016, pp . 131-164.

[arXiv:1604.00109]

A Porism Concerning Cyclic Quadrilaterals,Geometry, Volume 2013 (Jun 2013), Article ID 483727.

[arXiv:1408.1493]

Geometric diagram for relativistic addition of velocities,Am. J. Phys.Aug 201280(8) p. 737. [pdf]

On a Diophantine equation that generates all integral Apollonian gaskets,, ISRN Geometry.Article ID 348618, 19 pages, 2012. doi:10.5402/2012/348618.

[pdf]

Canonical endomorphism field on a Lie algebra,Journal of Generalized Lie Theory and Applications,4Oct 2010, article ID G100302.

[pdf]

Golden Window[light matters],Mathematics Magazine,83(5) 2010, no. 5, pp. 228-237.

[pdf]

Disentangling a triangle[light maters] (with A. Solecki),Am. Math. Monthly,116(3), March 2009, pp 228-237.

[pdf] This paper received theLester Ford Awardfrom the Mathematical Association of America.

Harmonic evolutions on graphs,Int. J. Math. and Comp. Sci.,22007, no. 1, pp. 65-82.

[pdf]. [arXiv:1201.1355 [math.CO]}

Clifford algebras and Euclid's parameterization of Pythagorean triples,Advances in Applied Clifford Algebras (Mathematical Structures),172007 pp. 71-93.

[pdf]

Traces, symmetric functions, and a raising operator: Generating function for Cauchy's enumeration formula,Proc. of the Fifth Intern. Workshop on Appl. Category Theory, Graph-Operad-Logic, Merida, May 2006 (to appear)

[pdf]

Krawtchouk polynomials and Krawtchouk matrices, (with P. Feinsilver),Recent Advances in Applied Probability, R. Baeza-Yates et al. (eds), Springer Verlag, 2005, pp. 115-143.

[pdf], [arXiv:quant-ph/0702073]

Representations of the Schroedinger algebra and Appell systems(with P. Feinsilver and R. Schott)Fortschritte der PhysikVol. 52 (4) 2004, pp. 343-359.

[pdf]

Berezin quantization of the Schroedinger algebra(with P. Feinsilver and R. Schott)Infinite-Dimensional Analysis: QP,61, 2003, pp. 57-71. [pdf]

Krawtchouk matrices from classical and quantum walks(with P. Feinsilver)Contemporary Mathematics,2872002 , pp. 83-96.

[pdf].

Simpson's paradox: proof without words.[light matters]Mathematics Magazine742001 (Dec).

[pdf]

Canonical variables and analysis on so(n,2)(with M. Giering and P. Feinsilver),Journal of Physics: A Mathematical,342001 pp 2367--2376.

[pdf]

Duplex numbers, diffusion systems, and generalized quantum mechanics,International Journal for Theoretical Physics,38(8) 1999 (Aug), pp. 2219-28. [pdf]

The geometry of elastic collisions and Heron's law,American Journal of Physics,67(6) 1999, pp. 516-19.

[pdf]

Structure of matrix manifolds and a particle model(with J. Rzewuski),Journal of Mathematical Physics,37(2), 1996, pp. 1004-28.

[pdf]

Representations and stochastic processes on groups of type H(with P. Feinsilver and R. Schott),Journal of Functional Analysis,115, 1993, 146-165.

[pdf]

Representation of the Heisenberg algebra, Riccati systems, and associated geometric structures, (with P. Feinsilver), Proceedings of the Conference on Differential Geometric Methods in Physics, Claustal, 1986.

On projections of spinor spaces onto Minkowski space(with J. Rzewuski), in "Symmetries in Science II," (B. Gruber, ed.), Plenum, New York, 1986.

On geometry of phenomenological thermodynamics, in "Symmetries in Science II," (B.Gruber, ed.), Plenum, New York, 1986.

[arXiv:1807.08908 [math-ph]]## Other creative contributions

On the Crossroads of Time, or Mismeasurement of Tense,ToBe(Polish American Academic Quarterly), Vol. 1, No 1, September 1993, pp. 18-24./div>