**Winter 2012 Schedule of Presentations**

Fractal and Mathematical Physics Research Group Winter 2012.January 19th, 2012: Robert Niemeyer, On the nature of sequences of compatible orbits of prefractal billiards.

January 26th, 2012: Rolando de Santiago, TBA.

February 2nd, 2012: Dr. Duplij, Classification of all Uq(sl2)-actions on the quantum plane and their classical limit.

February 9th, 2012: John Quinn, Scale invariance of geometric constructions.

February 16th, 2012: Dominick Scaletta, 3D topological quantum field theories.

February 23rd, 2012: Sabrina Kombrink, TBA.

March 1st, 2012: Nishu Lal, Spectral zeta functions of Laplacian-like operators on postcritically finite fractals.

March 8th, 2012: No seminar.

March 15th, 2012: Richard Niemeyer, Applications of fractal geometry to the study of urban dynamics.

Mathematical Physics and Dynamical Systems Winter 2012.January 19th, 2012: Michael Maroun, The imaginary resolvent, dynamics semi-norms and quantum field theory.

January 26th, 2012: Robert Niemeyer, On the nature of sequences of compatible orbits of prefractal billiards (defense practice talk).

February 2nd, 2012: Dr. Duplij (Rutgers and Kharkov National University), A new Hamiltonian formulation of singular theories based on the generalized duality and the Clairaut equation.

February 9th, 2012: Dr. Turbiner (Instituto de Ciencias Nucleares, National University of Mexico), A new continuous family of planar solvable and integrable Schrodinger equations.

February 16th, 2012: Dr. Lapidus and John Quinn, Dr. Lapidus: Towards a Quantization of Number Theory: Polya-Hilbert Operators, Frobenius Flow and the Riemann Hypothesis; John Quinn: Scale invariance & complex dimension.

February 23rd, 2012: Stephen Muir, TBA.

March 1st, 2012: Hafedh Herichi, On the Appolonian Integral packing and some of its geometric and arithmetic properties.

March 8th, 2012: No seminar.

March 15th, 2012: Nishu Lal, Spectral zeta functions of Laplacian-like operators on postcritically finite fractals (defense practice talk).

**Fall 2011 Schedule of Presentations**

Fractal and Mathematical Physics Research Group Fall 2011.September 29th, 2011: John Rock, Contraction systems and fractal dimensions of compact sets.

October 6th, 2011: Robert Niemeyer, On the nature of periodic orbits of fractal billiard tables.

October 13th, 2011: Michael Maroun, Regularizations of Quantum Fields, distributions and generalized functions.

October 20th, 2011: Michael Maroun, Representations of resolvents of free unitary operators on quantum fields.

October 27th, 2011: Nishu Lal, The spectral zeta function of fractal operators.

November 3rd, 2011: John Quinn, Further applications of the contraction mapping principle.

November 10th, 2011: No seminar.

November 17th, 2011: Dr. Thomas Laurent, Aggregation via Newtonian potential and aggregation patches.

November 24th, 2011: No seminar.

December 1st, 2011: Hafedh Herichi, Fractal strings and an operator-theoretic extension of Voronin's theorem.

Mathematical Physics and Dynamical Systems Fall 2011.September 29th, 2011: Stephen Muir, Gibbs measures for classical lattice models Part 1.

October 6th, 2011: Stephen Muir, Gibbs measures for classical lattice models Part 2.

October 13th, 2011: Richard Niemeyer, Fractal-like characteristics of the brain: a review.

October 20th, 2011: Dr. Tanja Eisner (UCLA), Arithmetic progressions and ergodic theory.

October 27th, 2011: Dr. Michel Lapidus, Fractal Strings, Complex dimensions and the spectral operator: From the Riemann hypothesis to universality and phase transitions.

November 3rd, 2011: Robert Niemeyer, Nontrivial polygonal paths of the Koch snowflake fractal billiard.

November 10th, 2011: No seminar.

November 17th, 2011: John Quinn, TBA.

November 24th, 2011: No seminar.

December 1st, 2011: Dominick Scaletta, Dirac cohomology and its applications in physics and mathematics.

**Spring 2011 Schedule of Presentations**

Fractal and Mathematical Physics Research Group Spring 2011.March 31st, 2011: Organizational meeting.

April 7th, 2011: Robert Niemeyer, Billiards on Serpinski carpets.

April 14th, 2011: Robert Niemeyer, An introduction to ergodic theory.

April 21st, 2011: Mike Maroun, The LWR theory of traffic.

April 28th, 2011: Mike Maroun, The modified Feynmann integral and singular potentials.

May 5th, 2011: John Quinn, Fourier transform and fractal measures (part II).

May 12th, 2011: Hafedh Herichi, Generalized fractal strings and a spectral reformulation of the Riemann hypothesis (part II).

May 19th, 2011: Nishu Lal, Product structure of spectral zeta function of Sturm-Liouville operator in relation with the generalized fractal strings.

May 26th, 2011: David Carfi, S-diagonalizable operators and their spectrum.

June 2nd, 2011: Scot Childress, More on spaces of generalized fractal strings.

Mathematical Physics and Dynamical Systems Spring 2011.March 31st, 2011: Organizational meeting.

April 7th, 2011: David Carfi, Gelfand triples, Dirac product, quantum fields and superpositions.

April 14th, 2011: John Quinn, Fourier transform and fractal measures.

April 21st, 2011: Dr. Alexander Turbiner, Solvable Schrodinger equations and representation theory.

April 28th, 2011: Hafedh Herichi, Generalized fractal strings and a spectral reformulation of the Riemann hypothesis.

May 5th, 2011: Dr. Pierre Vanhove, Automorphic properties of low energy string amplitudes in various dimensions.

May 12th, 2011: Dr. Velez Santiago, Quasi-linear elliptic equations with generalized nonlocal boundary conditions on nonsmooth domains.

May 19th, 2011: Dr. Zair Ibragimov, Hyperbolic geometry of p-adic numbers.

May 26th, 2011: Dr. Anton Gorodetski, Dynamics of the trace map and spectral properties of Fibonacci Hamiltonian.

June 2nd, 2011: Dr. Thomas Laurent, Characterization of radially symmetric finite time blowup in multidimensional aggregation equations.

**Winter 2011 Schedule of Presentations**

Fractal and Mathematical Physics Research Group Winter 2011.January 13th, 2011: Organizational meeting

January 20th, 2011: Scot Childress, Fractal strings and nature.

January 27th, 2011: Robert Niemeyer, Stabilizing orbits of the Koch snowflake billiard.

February 3rd, 2011: Robert Niemeyer, Fractal enrichment.

February 10th, 2011: Nishu Lal, Blow-up of the Sierpinski gasket (part I).

February 17th, 2011: Nishu Lal, Blow-up of the Sierpinski gasket (part II).

February 24th, 2011: Scot Childress, The Feynmann integral and fractal strings.

March 3rd, 2011: Sean Towsend, Fractal cryptography.

March 3rd, 2011: Jonathan Sarhad, Reaction diffusion and transport in quantum star graphs.

Mathematical Physics and Dynamical Systems Winter 2011.January 13th, 2011: Organizational meeting.

January 20th, 2011 Dominick Scaletta, Principal fiber bundles and the Hopf fibration in quantum theory: connections on principal bundles.

January 27th, 2011: Hafedh Herichi, On the convergence of the Euler product of the spectral operator in the critical strip.

February 3rd, 2011: Dominick Scaletta, Principal fiber bundles and the Hopf fibration in quantum theory: applications of connections.

February 10th, 2011: Juhi Jang, Stability theory of polytropic gaseous stars.

February 17th, 2011: John Quinn, Fractal measures.

February 24th, 2011: Richard Niemeyer, Toward a heuristic framework for understanding the relationship between graphs and dynamical systems in several applied contexts.

March 3rd, 2011: Mike Maroon, Generalized functions, Gelfand triples and the imaginary resolvent theorem.

March 3rd, 2011: Robert Niemeyer, The flat surface of the pre-fractal snowflake.

**Fall 2010 Schedule of Presentations**

Fractal and Mathematical Physics Research Group Fall 2010.September 30th, 2010: Mike Maroun, Number theoretic connections to the solution of a certain delay differential equation.

October 7th, 2010: Robert G. Niemeyer, Billiards on other fractal tables.

October 14th, 2010: Jonathan Sarhad, The heat kernel on a compact interval via the method of images.

October 21st, 2010: Hafedh Herichi, On the invertibility of the spectral operator.

October 28th, 2010: Professor Zair Ibragimov, Canonical decompositions of ultrametric spaces. Speaker visiting from the California State University, Fullerton.

November 4th, 2010: Robert G. Niemeyer, Flat surfaces II – an introduction to the subject.

November 11th, 2010: Holiday - No seminar.

November 18th, 2010: Nishu Lal, The Shubin invariant for the Sturm‐Liouville operator on [0,1].

November 24th, 2010: Holiday - No seminar.

December 2nd, 2010: Dr. Dana Clahane, Zeta functions and Riemann Hypotheses on multicomplex spaces: toward complex Clifford algebras.

Mathematical Physics and Dynamical Systems Fall 2010September 30, John Quinn: Fourier transforms in Lp spaces.

October 7, Johnathan Sarhad: Evolution equations in metric graphs: Quantum graphs and contraction semigroups.

October 14, Robert G. Niemeyer: Flat Surfaces I - an introduction to the subject.

October 21, Nishu Lal: Product structure of the spectral zeta function of the Sturm-Liouville operator on fractals.

October 28, Professor Zair Ibragimov: Hyperbolization of hyperspaces.

Speaker visiting from the California State University, Fullerton.

November 4, Hafedh Herichi: On the inveritibility of the spectral operator Part 2.

November 11, Holiday - No seminar.

November 18, Michael Maroun: The Feynman Integral.

November 24th, 2010: Holiday - No seminar.

December 2nd, Dominick Scaleta: Applications of the Hopf fibration in quantum physics.

**Spring 2010 Schedule of Presentations**

Fractal and Mathematical Physics Research Group Spring 2010.April 1st, 2010: Jonathan Sarhad, Spectral Geometries on the Sierpinski Gasket.

April 8th, 2010: Kate Ellis, Zeta functions of a measure on a cantor string, Shane Gibson, The Minkowski and Hausdorff dimensions of related fractal strings, Mike McKenzie, Partition zeta functions of a multinomial measure.

April 15th, 2010: Jason Payne, The Prime Number Theorem.

April 22nd, 2010: Robert Niemeyer, A characterization of pi/3 orbits in Omega(KS).

April 29th, 2010: Jonathan Sarhad, TBA.

May 6th, 2010: Robert Niemeyer, Holomorphic 1-forms on flat surfaces.

May 13th, 2010: Nishu Lal, The Spectrum of the Sturm‐Liouville operator and the renormalization map.

May 20th, 2010: Michael Maroun, TBA.

May 27th, 2010: Dr. Dana Clahane, Composition operators on the Hilbert space adelic product in prime or Fibonacci membranes.

June 3rd, 2010: Dr. Scot Childress, TBA.

Mathematical Physics and Dynamical Systems Spring 2010.April 1st, 2010: Dr. Carfi. (University of Messina, Sicily, Italy; visiting UCR) Talk Title Quantum Mechanics in the spaces of tempered distributions.

April 8th, 2010: Hafedh Herichi. The spectral operator and some conditions on its invertibility.

April 15th, 2010: Hafedh Herichi. On the Appolonian integral packing, fractal sprays and their complex dimensions.

April 22nd, 2010: Nishu Lal. Self-similar Sturm-Liouville operator and complex dynamics in higher dimension.

April 29th, 2010: No seminar.

May 6th, 2010: Dr. Aviv Censor. How to measure a groupoid.

May 13th, 2010: Jonathan Sarhad. Spectral geometries of the Sierpinski gasket.

May 20th, 2010: Dr. Carfi. (University of Messina, Sicily, Italy; visiting UCR) Talk Title TBA.

May 27th, 2010: Michael Maroun. The three-dimensional Feynman integral.

June 3rd, 2010: Jason Payne. Multivariate Eulerian products.

**Winter 2010 Schedule of Presentations **

Fractal and Mathematical Physics Research Group Winter 2010.January 7, 2010: Organizational meeting.

January 14, 2010: JMM.

January 21, 2010: Hafedh Herichi. On some properties of the spectral operator.

January 28, 2010: Nishu Lal. Complex dynamics in higher dimensions: Part I.

February 4, 2010: Robert Niemeyer. Periodic orbits of the Koch snowflake billiard.

February 11, 2010: Jason Payne. The theorem of Hadamard and de la Vallée Poussin.

February 18, 2010: AAAS Annual Meeting; Elie Atalla. TBA; Michael Maroun. Introduction to spontaneous symmetry breaking.

February 25, 2010: Scot Childress. On the foundations of classical electrodynamics.

March 4, 2010: Dr. Dana Clahane. Fractal membranes.

March 11, 2010: Hafedh Herichi. On the Appolonian integral packing.

Mathematical Physics and Dynamical SystemsWinter 2010.January 7, 2010: Planning meeting.

January 14, 2010: No seminar. AMS Annual Meeting.

January 21, 2010: Michael Maroun. Computation of the divergent integrals arising in the Feynman functional integral for the Schrödinger dynamics.January 28, 2010: Dr. Aviv Censor. Topological degroupoidification.

February 4, 2010*: Professor Eugene Gutkin (Copernicus University, Torun & Polish Inst. Academy of Sciences, Warsaw, Poland). Security and flatness for Riemannian manifolds, especially for surfaces.

February 11, 2010: Professor Gerald Johnson (University of Nebraska, Lincoln; visiting UCR). Feynman's operational calculi.

February 18, 2010: Robert Niemeyer. Veech groups and flat surfaces.

February 25, 2010*: Professor Daniel Sternheimer (Keio University, Japan & University of Bourgogne, Dijon, France). Deformations, quantizations, and the geometry of space-time: an introductory overview.

March 4, 2010: Nishu Lal. Complex dynamics in higher dimensions: Part II.

March 11, 2010: Dr. Scot Childress. On the subject of mathematical physics.

*This will be a colloquium, joint with the MPDS seminar; hence, it will last from 4:10pm to 5:00pm, with refreshments and tea/coffee starting at about 3:40pm.

**Fall 2009 Schedule of Presentations **

Mathematical Physics and Dynamical SystemsFall 2009.October 1, 2009: Planning meeting.

October 8, 2009: Jonathan Sarhad. A solution to the nonlinear Poisson equation via a Newton embedding method.

October 15, 2009: Professor Jim Kelliher. Prandtl's 1904 paper on boundary layers and a few things learned since then, I.

October 22, 2009: Professor Jim Kelliher. Prandtl's 1904 paper on boundary layers and a few things learned since then, II.

October 29, 2009: October 29 Michael Maroun. The challenges presented by the 2-body and 3-body Schrodinger problems in the Feynman integral formalism.November 5, 2009*: Professor Jun Kigami (Kyoto Univ., Japan; visiting UCR). Transient random walk on a tree, its trace on the Cantor set as the Martin boundary and associated heat kernel.

November 12, 2009*: Professor Driss Essouabri (Univ. de St. Etienne, France; visiting UCR). Multivariable zeta functions: analytic continuation, natural boundary, special values and applications.

November 19, 2009: Hafed Herichi. Properties of the prime factor operator for generalized fractal strings.

November 26, 2009: Holiday - Thanksgiving.

December 3, 2009: No talk.

**Spring 2009 Schedule of Presentations **

Mathematical Physics and Dynamical SystemsSpring 2009.April 2, 2009: Jonathan Sarhad. TBA.

April 9, 2009: Nishu Lal. Decimation method on the Sierpinski gasket.

April 16, 2009: Hafedh Herichi. Properties of the p-factors operator associated to generalized fractal strings (Part I).

April 23, 2009: Nishu Lal. The spectral zeta function for fractals & its connection with the zeta function of a polynomial.

April 30, 2009: Robert Niemeyer. Mathematical billiards and fractal geometry.

May 7, 2009: Scot Childress. Cylinders: because why not?

May 14, 2009: Vicente Alvarez. A numerical computation of eigenfunctions for the Kusuoka Laplacian on the Sierpinski gasket.

May 21, 2009: Nishu Lal. Spectral analysis on self-similar sets and spectral zeta function.

May 28, 2009: Mike Maroun. 2-dimensional conformal quantum field theory.

June 4, 2009: No talk.

June 11, 2009: No talk.

**Winter 2009 Schedule of Presentations**

Mathematical Physics and Dynamical SystemsWinter 2009.January 15, 2009: Organizational meeting.

January 22, 2009: Michael Maroun. Computational quantum field theory.

January 29, 2009: Scot Childress. On the ambiguity of nomenclature.

February 5, 2009: John Huerta. The algebra of grand unified theories.

February 12, 2009: No seminar - UCLA IPAM Workshop on Eigenvalues and Eigenfunctions of the Laplacian.

February 19, 2009: Vicente Alvarez. Sierpinski gasket.

*February 26, 2009: Professor Robert Devaney. Cantor and Sierpinski, Julia and Fatou: Crazy topology in complex dynamics.

*March 5, 2009: Professor Gerald Johnson. Feynman's operational calculus for noncommuting operators.

March 12, 2009: Professor Lance Nielsen. Feynman's operational calculus: A survey of results beyond an introduction.

**Fall 2008 Schedule of Presentations **

Mathematical Physics and Dynamical Systems Fall 2008.October 2, 2008: Scot Childress. Quantum measures - An approach to generalizing Dirichlet series.

October 9, 2008: No seminar - Holiday.

October 16, 2008: Mike Maroun. The modified Feynman-Kac formula and convolution as dynamics, I.

October 23, 2008: Professor Harold Widom. Formulas and asymptotics in the asymmetric simple exclusion process.

October 30, 2008: Jonathan Sarhad. Measurable Riemannian geometry.

November 6, 2008: Elie Atalla. TBA.

November 13, 2008: John Huerta. Grand unified theories.

November 20, 2008: Elie Atalla. TBA.

December 4 , 2008: Scot Childress. TBA.

*This will be a colloquium, joint with the MPDS seminar; hence, it will last from 4:10pm to 5:00pm, with refreshments and tea/coffee starting at about 3:40pm.

**Spring 2008 Schedule of Presentations.**

Mathematical Physics and Dynamical SystemsSpring 2008Apr 3 Organizational meeting.

Apr 10 John Huerta. The Octonions.

*Apr 17 Dr. Henrique Bursztyn. Generalized complex/Kähler geometry.

Apr 24 Robert G. Niemeyer. A countable class of periodic orbits of the koch snowflake.

May 1 Michael Maroun. Entropy, classical and quantum action.

May 8 Scot Childress. Fractal geometry, number theory, and physics, II.

May 15 Alex Hoffnung. Categorifying Hamiltonian mechanics: motivation and theory.

May 22 Chris Rogers. Categorifying Hamiltonian mechanics: applications to string theory.

May 29 Vicente Alvarez. Finite element method on the Sierpinski gasket.

Jun 5 John Huerta: Quantum mechanics and representation theory.

*This will be a colloquium, joint with the MPDS seminar; hence, it will last from 4:10pm to 5:00pm, with refreshments and tea/coffee starting at about 3:40pm.