- Bibliography (CROSBI)
- List of select publications
- Biography
- Research areas
- Professional memberships
- Personal data
- Hobbies and interests
Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations
Srinivasa Ramanujan as a bridge over the ocean
Glagolitic script and Croatian name
Alojzije Stepinac - Glagolitic Script
Nikola Tesla and his assistent Charles F. Scott
Tesla's two autobiographies
Miracle of Croatian Glagolitic Script
Vilim (William) Feller
Mahatma Gandhi and Kristian Kreković Connecting India and Croatia
Črnko's record about the defense of Siget from the Turks and the death of Nikola Zrinski in 1566, kept in the State Archive in Vienna
Šare's algebraic systems
Vladimir Paleček - The Founder of the "Hungry Child" International FUnd
Society of friends of Glagolitic script and Jorunal „Bašćina“ (interview with Tomislav Galović PhD, Darko Žubrinić PhD, and Mirna Lipovac)
Afterword; Two giants of nonviolence and peace- making: Mahatma Gandhi and Stjepan Radić
An attempt of continuation of "Glagoljski natpisi" (Glagolitic Inscriptions) by academician Branko Fučić
Maximally singular weak solutions of Poisson equations
Mathematician who graduated at technical faculties
Twelvth copy of the first Croatian incunabulum from 1483
Parčić's glagolitic seal
Črnko's record about the defense of Siget from the Turks and the death of Nikola Zrinski in 1566, kept in the State Archive in Vienna
Mahatma Gandhi and Kristian Krekovic connecting India and Croatia
The Siget battle from 1566 described in Croatian glagolitic
Croatian glagolitic at auctions
Kajkavian Lord's Prayers
Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces
Essential singularities of fractal zeta functions
About Euler the number e and corresponding exponential and logarithmic function
Glagoljički prijepis latiničkog zapisa Franje Črnka o bitki kod Sigeta 1566. i o Nikoli Zrinskom
Irrationality of Euler's number e
Glagolitics Anniversary
Experiences with mathematical typography at the Department of Applied Mathematics of the Faculty of Electrical Engineering and Computing of the University of Zagreb
New Batomalj parchment sheet of the Statute of the confraternity of Mother Mary of the Hill from 1425 identified
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces
Complex dimensions generated by essential singularities
An overview of the theory of complex dimensions and fractal zeta functions
Towards bifurcations of complex dimensions
Fractal properties of a class of polynomial planar systems having degenerate foci
Croatian Glagolitic heritage in the context of European culture
Teaching of Croatian Language, Mathematics and Physics in the time of Education of Nikola Tesla in Croatia
Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality
Introduction to fractal analysis of orbits of dynamical systems
Dragutin Antun Parčić - a famous Croatian Glagolitic priest and lexicographer
Education of Nikola Tesla in Croatia and his professor Martin Sekulić
Tenth jubilee collection of the Passion heritage NGO dedicated to Istria and Kvarner
Tenth jubilee collection of the Passion heritage NGO dedicated to Istria and Kvarner
Antun Lučić Anthony F. Lucas father of world's petroleum industry
Distance and tube zeta functions of fractals and arbitrary compact sets
Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
Zeta functions and complex dimensions of relative fractal drums: theory, examples and applications
Fractal Zeta Functions and Fractal Drums: Higher- Dimensional Theory of Complex Dimensions
From singular dimensions and fractal analysis of vector fields to Lapidus zeta functions
The role of Croatian Glagolitic heritage for the destiny of Istria after the Second World War
Fractal tube formulas for relative fractal drums in arbitrary Euclidean spaces via Lapidus zeta functions
Relative fractal drums, complex dimensions and geometric oscillations
A Minkowski measurability criterion for relative fractal drums via complex dimensions
Gauge Minkowski content and complex dimensions of relative fractal drums
Wavy spirals and their fractal connection with chirps
Education of Nikola Tesla in Croatia
Kosinj valley and Kosinj Glagolitic printing
Fractal zeta functions and complex dimensions: A general higher-dimensional theory
Fractal Zeta Functions and Fractal Drums [<a href="http://www.math.caltech.edu/~mathphysics/Slides/lapidus.pdf" target="_blank">PDF</a>]
Fractal analysis of unbounded sets in Euclidean spaces: complex dimensions and Lapidus zeta functions
Tube formulas for relative fractal drums in Euclidean spaces via Lapidus zeta functions
Lapidus zeta functions of fractal sets and their residues
Mathematics 2
Fractal zeta functions and complex dimensions of relative fractal drums
Mathematics 1
How is heard dimension \ sqrt {; ; ; 3}; ; ; ?
Josip Pecaric Croatian mathematician wrote a preface to a monograph by Wan-Lan Wang published in China 2011 [<a href="http://www.croatia.org/crown/articles/10376/1/Josip-Pecaric-Croatian-mathematician-wrote-a-preface-to-a-monograph-by-Wan-Lan-Wang-published-in-China-2011.html" target="_blank">Source</a>]
Quasilinear elliptic equations with positive exponent on the gradient
Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension
Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension
Oscillations of a class of forced second-order differential equations with possible discontinuous coefficients
Fractal oscillations near the domain boundary of radially symmetric solutions of p-Laplace equations
Fractal properties of oscillatory solutions of a class of ordinary differential equations
Sena Jurinac 1021-2011 legendary Croatian artist who shaped the entire opera world
A famous Russian mathematician A. N. Kolmogorov was a guest in Zagreb in 1965
Pedagogical credo of distinguished Croatian-American scientist William Feller
Contributions of Stanko Hondl to Croatian Encyclopaedia
Contributions of Stanko Hondl to Croatian Encyclopaedia
Antun Lučić - Anthony F. Lucas, father of world petroleum engineering [<a href="http://www.croatianhistory.net/etf/antun_lucic.pdf" target="_blank">PDF</a>]
Fractal properties of trajectories of dynamical systems
Croatian Glagolitic heritage in contemporary Lika with accent on Gacka
Josip Andrić, distinguished Croatian musicologist, composer and writer from Bačka and the author of the first history of the Slovak music
The job chose me
Zeta functions associated with arbitrary compact sets in $R^{; ; N}; ; $: Towards a general theory of complex fractal dimensions (reporter: Professor Michel L. Lapidus)
Relative zeta functions of fractal sets in Euclidean spaces
Lapidus zeta functions of arbitrary fractals and compact sets in Euclidean spaces
Fractal analysis of Hopf bifurcation at infinity
Fractal properties of Bessel equation
Professor Mladen Bestvina associate editor of the Annals of Mathematics [<a href="http://www.croatia.org/crown/articles/10044/1/Professor-Mladen-Bestvina-associate-editor-of-the-Annals-of-Mathematics.html" target="_blank">source</a>]
Mate Ujevic 1901-1967 the founder and editor in chief of Croatian Encyclopaedia [<a href="http://www.croatia.org/crown/articles/10081/1/Mate-Ujevic-1901-1967-the-founder-and-editor-in-chief-of-Croatian-Encyclopaedia.html">source</a>]
Sign-Posts of Branko Fučić
Vladimir Varićak (1865-1942)
Dr. Slobodan Lang: "Storm" was humanitarian operation that prevented genocide
Middle European Mathematical Olympiade organized in Varazdin, Croatia 2011
William Feller, Distinguished Croatian-American mathematician [<a href="http://www.croatia.org/crown/articles/10218/1/William-Feller-distinguished-Croatian-American-mathematician---first-monograph.html">Summary</a>]
Box dimension of sets
Lapidus zeta functions of fractal sets
Fractal properties of solutions of differential equations
Singular dimension of solution set of a class of p-Laplace equations
Loss of regularity of weak solutions of p-Laplace equations for p \neq 2
Experience of the Croatian-French History Workshop at the Faculty of Humanities and Its Future
Mervan Pasic Croatian mathematician invited by Japanese colleagues [<a href="http://www.croatia.org/crown/articles/9952/1/" target="_blank">source</a>]
Professor Henrik Heger founder of Croatian studies at Sorbonne in Paris in 1981 [<a href="http://www.croatia.org/crown/articles/9949/1/" target="blank">source</a>]
of the Katyn Forest tragedy [<a href="http://www.croatia.org/crown/articles/9957/1/" target="_blank">source</a>]
Professors Z. Drmac and K. Veselic received prestigeous SIAM math prize [<a href="http://www.croatia.org/crown/articles/9894/1/" target="_blank">source</a>]
Kristian Kreković, distinguished Croatian painter [<a href="http://www.croatianhistory.net/etf/krek.html">web</a>]
Nenad Ban's scientific work is regarded as a milestone in biochemical research [<a href="http://www.croatia.org/crown/articles/10040/1/Nenad-Bans-scientific-work-is-regarded-as-a-milestone-in-biochemical-research.html">source</a>]
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger Cauchy problems
Generating singularities of weak solutions of p-Laplace equations on fractal sets
Hausdorff dimension of singular sets of Sobolev functions and applications
Jaksa Cvitanic a leading expert in Mathematical Finance [<a href="http://www.croatia.org/crown/articles/9907/1/" target="_blank">source</a>]
Zvonimir Janko and Yakov Berkovich authors of important math monograph [<a href="http://www.croatia.org/crown/articles/9867/1/" target="_blank">source</a>]
Differential Equations and Applications a new Math journal in Croatia [<a href="http://www.croatia.org/crown/articles/9857/1/" target="_blank">source</a>]
Oscillatory and phase dimensions of solutions of some second-order differential equations
Celebrating 90th anniversary of the Department of Applied Mathematics of FER in Zagreb
On some new properties of solutions of nonlinear PDE-s
Box dimension and Minkowski content of the clothoid
Maximally singular Sobolev functions
Maximally singular Sobolev functions
Poincare map in fractal analysis of spiral trajectories of planar vector fields
The existence of positive solutions of polyharmonic equations with strong dependence on the gradient
Generalized Fresnel integrals and fractal properties of related spirals
Box dimension and Minkowski content of generalized Euler spirals
Singular dimension of spaces of real functions
Zvonimir Janko, outstanding Croatian mathematician [<a href="http://www.croatianhistory.net/etf/janko/" target="_blank">source</a>]
Gauss formula
Galerkin method
Gauss curve
Green's formula
Method of mathematical induction
Gradient
Isometry
Jacobi matrix
Laplace equation
Newton-Raphson method
Poisson distribution
Distribution, normal
Stokes formula
Box dimension of spiral trajectories of some vector fields in R^3
Positive solutions of polyharmonic equations with strong dependence on the gradient
Recent results on fractal analysis of trajectories of some dynamical systems
Positive solutions of polyharmonic equations with strong dependence on the gradient
Box dimension of trajectories of some discrete dynamical systems
Maximally singular functions in Besov spaces
Analysis of Minkowski contents of fractal sets and applications
Introduction to discrete mathematics
Rudolf Strohal and his "Croatian Glagolitic Book" (1915)
William Feller (Zagreb 1906 - New York 1970) - on the occasion of hundred years since the birth of outstanding Croatian - American mathematician
William Feller (1906-1970) [<a href="http://www.croatianhistory.net/etf/feller.html" target="_blank">source</a>]
Fractal analysis of spiral trajectories of some vector fields in ${; ; ; \mathbb R}; ; ; ^3$
Fractal dimensions in dynamics
Hausdorff dimension of singular sets of Sobolev functions and applications
On extended singular set of potentials
Croatian Glagolitic heritage
Maximally singular Sobolev functions
Fractal analysis of spiral trajectories of some planar vector fields
Singular sets of Lebesuge integrable functions
Jewels of the history of Croatian culture and science on Internet
Minkowski content and singular integrals
Correspondence between Rugjer Boskovic and Leonhard Euler
Box dimensions and Minkowski contents of spiral trajectories
Minkowski content and singular integrals
Multidimensional generalization of Levin-Cochran-Lee inequalities
Danilo Blanuša and its bridegroom problem
Linear Algebra
Generating singularities of solutions of quasilinear elliptic equations using Wolff's potential
Singular sets of Sobolev functions
On a glagolitic quickscript notebook in Prague
William Feller - outstanding Croatian-American mathematician
On a Croatian Glagolitic quickscript note-book in the Prague
Singular sets of Sobolev functions
Some qualitative properties of solutions of quasilinear elliptic systems
Nonexistence of solutions for quasilinear elliptic equations with $p$-growth in the gradient
Euler's summation
Matrix transformations of the plane
Croatian mathematical diaspora
Incommensurability of lengths
A class of nonlinear elliptic variational inequalities : qualitative properties and existence of solutions
Discrete mathematics
Harmonic numbers
Glagolitic numbers
Some qualitative properties of solutions of quasilinear elliptic equations and applications
Recent advances in quasilinear elliptic equations
Generating singularities of quasilinear elliptic equations
Quasilinear elliptic systems with the natural growth in the gradinet
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient
Solvability of quasilinear elliptic equations with strong dependence on the gradient
TeX and METAFONT
A singular ODE related to quasilinear elliptic equations
Quasilinear elliptic equations and systems with strong dependence on the gradient
A note on Cacciopoli's inequality
How our predecessors computed
Strategic game of J.H. Conway
Control of essential infimum and supremum of solutions of quasilinear elliptic equations
On Levin's generalization of Carleman's inequalities
Fundamentals of Applied Functional Analysis
Mathematics for primary and secondary schools on Internet
Divine or golden section
Croatian fonts
Croatian Glagolitic Script
Croatia - Overview of History, Culture and Science
Faculty of electrical engineering : with a short survey of the history of Croatia
Introduction to Variational Methods for Differential Equations
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces. Discrete Contin. Dyn. Syst. Ser. S 12 (2019), no. 1, 105–117.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal tube formulas for compact sets and relative fractal drums: oscillations, complex dimensions and fractality. J. Fractal Geom. 5 (2018), no. 1, 1–119.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Zeta functions and complex dimensions of relative fractal drums: theory, examples and applications. Dissertationes Math. 526 (2017), 105 pp.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Complex dimensions of fractals and meromorphic extensions of fractal zeta functions. J. Math. Anal. Appl. 453 (2017), no. 1, 458–484.
Lapidus, M. L.; Radunović, G.; Žubrinić, D. Distance and tube zeta functions of fractals and arbitrary compact sets. Adv. Math. 307 (2017), 1215–1267.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal zeta functions and fractal drums. Higher-dimensional theory of complex dimensions. Springer Monographs in Mathematics. Springer, Cham, 2017. xl+655 pp.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal zeta functions and complex dimensions: a general higher-dimensional theory. Fractal geometry and stochastics V, 229–257, Progr. Probab., 70, Birkhäuser/Springer, Cham, 2015.
Lapidus, Michel L.; Radunović, Goran; Žubrinić, Darko Fractal zeta functions and complex dimensions of relative fractal drums. J. Fixed Point Theory Appl. 15 (2014), no. 2, 321–378.
Biography
Born in 1956. in Zagreb. Completed his studies at the Faculty of Science of the University of Zagreb, Department of Mathematics, in 1978. Earned his PhD at the same institution in 1984. Since 1981 employed at the Faculty of Electrical Engineering and Computing. His scientific interests are in the field of nonlinear analysis of elliptic boundary value problems, fractal properties of dynamical systems, and in the field of fractal zeta functions. Coauthor of two monographs (in English) and about 60 professional research papers, as well as of several student manuals, all in the field of Mathematics. He was active in popularizing Math, and by the end of 1980s was a deputy leader of young mathematicians of the former state at International Mathematical Olympiads (IMO's). In 2010, published (in Croatian adn English) a monograph about William Feller, the greatest Croatian mathematician in history.
A founder (in 1993.) and the current president of Fans of the Glagolitic Society in Zagreb. Author of a book Hrvatska glagoljica (Croatian Glagolitic Script) published in 1994 (2nd edition in 1996, 400 pp.). Founded the web site Croatia - Its History, Culture and Science, www.croatianhistory.net in 1995, registered at the National and University Library in Zagreb. Deputy editor of the editor in chief Mr. Nenad Bach (NY) on the web site CROWN www.croatia.org, also registered at the National and University Library in Zagreb.
Delivered three public lectures about Antun Lučić (Anthony F. Lucas, born in 1855 in the city of Split), proclaimed in the USA as the father of petroleum engineering.
Since 2015, he is interested in the schooling of Nikola Tesla in Croatia.
Competences
-
Mathematics
Boundary value problems Partial differential equations Difference equations Nonlinear equations Bifurcation Euclidean distance Hilbert space Functional analysis Fractals Limit-cycles Nonlinear dynamical systems Spirals -
Mathematics
Boundary value problems Partial differential equations Difference equations Nonlinear equations Bifurcation Euclidean distance Hilbert space Functional analysis Fractals Limit-cycles Nonlinear dynamical systems Spirals
Professional memberships
fractal analysis of vector fields
fractal zeta functions
elliptic boundary value problem
Personal data
Hobbies and interests
Croatia - Its History, Culture and Science