- Prikaži radove
- Izabrane publikacije
- Životopis
- Područja istraživanja
- Profesionalni interesi i članstva
- Osobni podaci
- Hobiji i osobni interesi
Akademik Josip Lončar (1891. – 1973.) i dio njegova studija matematike i fizike u Francuskoj
Pokretanje DPG-a na FER-u i doprinos fakulteta njegovu razvoju
Fractal analysis of degenerate spiral trajectories of a class of ordinary differential equations
Srinivasa Ramanujan kao most preko oceana
Čudo hrvatske glagoljice
Glagoljicom pisana bilježnica iz Državnog Arhiva u Beču o obrani Sigeta od Turaka 1566. i pogibiji Nikole Zrinskog
Šare's algebraic systems
Alojzije Stepinac - glagoljica
Nikola Tesla i njegov asistent Charles F. Scott
Vilim (William) Feller
Tesline dvije autobiografije
Mahatma Gandhi and Kristian Kreković Connecting India and Croatia
Glagoljičko pismo i hrvatsko ime
Pokušaj nastavka "Glagoljskih natpisa" akademika Branka Fučića
Vladimir Paleček - The Founder of the "Hungry Child" International FUnd
Maximally singular weak solutions of Poisson equations
Društvo prijatelja glagoljice i njihov časopis Bašćina (razgovor s dr. sc. Tomislavom Galovićem, dr. sc. Darkom Žubrinićem i Mirnom Lipovac)
Zaslov; Dva velikana nenasilnosti i mirotvorstva: Mahatma Gandhi i Stjepan Radić
Črnkov zapis iz Državnog Arhiva u Beču o obrani Sigeta od Turaka i pogibiji Nikole Zrinskog 1566. g.
Kajkavski Očenaši
Minkowski measurability criteria for compact sets and relative fractal drums in Euclidean spaces
Matematičari koji su diplomirali na tehničkim fakultetim
Dvanaesti primjerak prvotiska iz 1483. godine
Mahatma Gandhi and Kristian Krekovic connecting India and Croatia
Sigetska bitka 1566. g. opisana glagoljicom
Parčićev glagoljički pečat
Essential singularities of fractal zeta functions
Hrvatska glagoljica na aukcijama
Iracionalnost Eulerova broja e
Fractal tube formulas and a Minkowski measurability criterion for compact subsets of Euclidean spaces
U Zagrebu identificiran novi batomaljski list Statuta bratovštine Majke Božje Goričke iz 1425. godine
Glagoljičke obljetnice
Towards bifurcations of complex dimensions
Iskustva s matematičkom tipografijom na Zavodu za primijenjenu matematiku Fakulteta elektrotehnike i računarstva Sveučilišta u Zagrebu
Glagoljički prijepis latiničkog zapisa Franje Črnka o bitki kod Sigeta 1566. i o Nikoli Zrinskom
Obilježavanje stote obljetnice Zavoda za primijenjenu matematiku FER-a osnovanog 1919. g.
O Eulerovom broju e i odgovarajućoj eksponencijalnoj i logaritamskoj funkciji
An overview of the theory of complex dimensions and fractal zeta functions
Complex dimensions generated by essential singularities
Hrvatska glagoljaška baština u kontekstu europske kulture
Fractal Tube Formulas for Compact Sets and Relative Fractal Drums: Oscillations, Complex Dimensions and Fractality
Teaching of Croatian Language, Mathematics and Physics in the time of Education of Nikola Tesla in Croatia
Introduction to fractal analysis of orbits of dynamical systems
Fractal properties of a class of polynomial planar systems having degenerate foci
Tenth jubilee collection of the Passion heritage NGO dedicated to Istria and Kvarner
Fractal Zeta Functions and Fractal Drums: Higher- Dimensional Theory of Complex Dimensions
Distance and tube zeta functions of fractals and arbitrary compact sets
Dragutin Antun Parčić - a famous Croatian Glagolitic priest and lexicographer
Zeta functions and complex dimensions of relative fractal drums: theory, examples and applications
Tenth jubilee collection of the Passion heritage NGO dedicated to Istria and Kvarner
Antun Lučić Anthony F. Lucas father of world's petroleum industry
Complex dimensions of fractals and meromorphic extensions of fractal zeta functions
Education of Nikola Tesla in Croatia and his professor Martin Sekulić
Wavy spirals and their fractal connection with chirps
A Minkowski measurability criterion for relative fractal drums via complex dimensions
From singular dimensions and fractal analysis of vector fields to Lapidus zeta functions
Relative fractal drums, complex dimensions and geometric oscillations
Fractal tube formulas for relative fractal drums in arbitrary Euclidean spaces via Lapidus zeta functions
Uloga hrvatske glagoljičke baštine za sudbinu Istre nakon Drugog svjetkog rata
Gauge Minkowski content and complex dimensions of relative fractal drums
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>]
Lapidus zeta functions of fractal sets and their residues
Tube formulas for relative fractal drums in Euclidean spaces via Lapidus zeta functions
Fractal analysis of unbounded sets in Euclidean spaces: complex dimensions and Lapidus zeta functions
Matematika 2
Školovanje Nikole Tesle u Hrvatskoj
Kosinjska dolina i kosinjska glagoljička tiskara
Matematika 1
Kako se čuje dimenzija $\sqrt{3}$?
Fractal zeta functions and complex dimensions of relative fractal drums
Box-counting fractal strings, zeta functions, and equivalent forms of Minkowski dimension
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
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
Quasilinear elliptic equations with positive exponent on the gradient
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>]
Antun Lučić - Anthony F. Lucas, otac svjetske naftne industrije [<a href="http://www.croatianhistory.net/etf/antun_lucic.pdf" target="_blank">PDF</a>]
Hrvatska glagoljska bašćina u današnjoj Lici s naglaskom na Gacku
Zeta functions associated with arbitrary compact sets in $R^{; ; N}; ; $: Towards a general theory of complex fractal dimensions (reporter: Professor Michel L. Lapidus)
Josip Andrić, istaknuti hrvatski muzikolog, skladatelj i pisac iz Bačke i autor prve povijesti slovačke glazbe (<a href="http://www.croatianhistory.net/etf/josip_andric.html" target=_blank>Josip Andrić</a>)
Sena Jurinac 1021-2011 legendary Croatian artist who shaped the entire opera world
Fractal properties of Bessel equation
Prilozi Stanka Hondla u Hrvatskoj enciklopediji
Znameniti ruski matematičar A. N. Kolmogorov bio je gost u Zagrebu 1965.
Pedagoški zavjet istaknutog hrvatsko-američkog znanstvenika Vilima Fellera
Fractal analysis of Hopf bifurcation at infinity
Fractal properties of trajectories of dynamical systems
Lapidus zeta functions of arbitrary fractals and compact sets in Euclidean spaces
Posao je odabrao mene
Relative zeta functions of fractal sets in Euclidean spaces
Prilozi Stanka Hondla u Hrvatskoj enciklopediji
Putokazi Branka Fučića
Lapidus zeta functions of fractal sets
Vilim Feller, istaknuti hrvatsko-američki matematičar / William Feller, Distinguished Croatian-American mathematician (bilingual Croatian - English edition)
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>]
Dr. Slobodan Lang: "Storm" was humanitarian operation that prevented genocide
Vladimir Varićak (1865.-1942.)
Fractal properties of solutions of differential equations
Box dimenzija skupova
Middle European Mathematical Olympiade organized in Varazdin, Croatia 2011
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>]
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>]
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>]
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>]
Iskustvo Hrvatsko-francuske povijesne radionice Filozofskog fakulteta i njezina budućnost: Experience de l'Atelier d'histoire croato-francais de la Faculte des Lettres et son avenir
Fractal analysis of Hopf bifurcation for a class of completely integrable nonlinear Schroedinger Cauchy problems
Loss of regularity of weak solutions of p-Laplace equations for p \neq 2
Mervan Pasic Croatian mathematician invited by Japanese colleagues [<a href="http://www.croatia.org/crown/articles/9952/1/" target="_blank">source</a>]
of the Katyn Forest tragedy [<a href="http://www.croatia.org/crown/articles/9957/1/" target="_blank">source</a>]
Singular dimension of solution set of a class of p-Laplace equations
Kristian Kreković, distinguished Croatian painter [<a href="http://www.croatianhistory.net/etf/krek.html">web</a>]
On some new properties of solutions of nonlinear PDE-s
Box dimension and Minkowski content of the clothoid
Zvonimir Janko and Yakov Berkovich authors of important math monograph [<a href="http://www.croatia.org/crown/articles/9867/1/" target="_blank">source</a>]
Jaksa Cvitanic a leading expert in Mathematical Finance [<a href="http://www.croatia.org/crown/articles/9907/1/" target="_blank">source</a>]
Proslava 90. obljetnice Zavoda za primijenjenu matematiku FER-a u Zagrebu
Generating singularities of weak solutions of p-Laplace equations on fractal sets
Differential Equations and Applications a new Math journal in Croatia [<a href="http://www.croatia.org/crown/articles/9857/1/" target="_blank">source</a>]
Hausdorff dimension of singular sets of Sobolev functions and applications
Oscillatory and phase dimensions of solutions of some second-order differential equations
Box dimension and Minkowski content of generalized Euler spirals
Maximally singular Sobolev functions
Maximally singular Sobolev functions
Generalized Fresnel integrals and fractal properties of related spirals
The existence of positive solutions of polyharmonic equations with strong dependence on the gradient
Poincare map in fractal analysis of spiral trajectories of planar vector fields
Gaussova krivulja
Recent results on fractal analysis of trajectories of some dynamical systems
Singular dimension of spaces of real functions
Gaussova formula
Greenova furmula
Box dimension of spiral trajectories of some vector fields in R^3
Poissonova razdioba
Induktivna metoda
Positive solutions of polyharmonic equations with strong dependence on the gradient
Laplaceova jednadžba
Galerkinova metoda
Stokesova formula
Izometrija
Box dimension of trajectories of some discrete dynamical systems
Zvonimir Janko, outstanding Croatian mathematician [<a href="http://www.croatianhistory.net/etf/janko/" target="_blank">source</a>]
Positive solutions of polyharmonic equations with strong dependence on the gradient
Razdioba, normala
Jacobijeva matrica
Newton-Raphsonova metoda
Gradijent
Uvod u diskretnu matematiku
Rudolf Strohal i njegova "Hrvatska glagolska knjiga" (1915.)
Fraktalna analiza dinamičkih sustava
Fractal dimensions in dynamics
Fractal analysis of spiral trajectories of some vector fields in ${; ; ; \mathbb R}; ; ; ^3$
William Feller (1906-1970) [<a href="http://www.croatianhistory.net/etf/feller.html" target="_blank">source</a>]
William Feller (Zagreb 1906 - New York 1970) - on the occasion of hundred years since the birth of outstanding Croatian - American mathematician
Maximally singular functions in Besov spaces
Analysis of Minkowski contents of fractal sets and applications
Maximally singular Sobolev functions
On extended singular set of potentials
Fractal analysis of spiral trajectories of some planar vector fields
Il patrimonio glagolitico croato
Hausdorff dimension of singular sets of Sobolev functions and applications
Jewels of the history of Croatian culture and science on Internet
Dopisivanje Ruđera Boškovića i Leonharda Eulera
Minkowski content and singular integrals
Singular sets of Lebesuge integrable functions
Box dimensions and Minkowski contents of spiral trajectories
Danilo Blanuša i njegov problem mladoženje
William Feller - outstanding Croatian-American mathematician
O jednoj kurzivnoj glagoljskoj bilježnici u Pragu
O jednoj kurzivnoj glagoljskoj bilježnici u Pragu
Linearna algebra
Singular sets of Sobolev functions
Generating singularities of solutions of quasilinear elliptic equations using Wolff's potential
Minkowski content and singular integrals
Multidimensional generalization of Levin-Cochran-Lee inequalities
A class of nonlinear elliptic variational inequalities : qualitative properties and existence of solutions
Singular sets of Sobolev functions
Eulerovo zbrajanje
Matrične transformacije ravnine
Some qualitative properties of solutions of quasilinear elliptic systems
Hrvatska matematička dijaspora
Nonexistence of solutions for quasilinear elliptic equations with $p$-growth in the gradient
Nesumjerljivost dužina
Diskretna matematika
Some qualitative properties of solutions of quasilinear elliptic equations and applications
Glagoljski brojevi
Harmonijski brojevi
Recent advances in quasilinear elliptic equations
Solvability of quasilinear elliptic equations with strong dependence on the gradient
Positive solutions of quasilinear elliptic systems with strong dependence on the gradient
Quasilinear elliptic systems with the natural growth in the gradinet
Generating singularities of quasilinear elliptic equations
TeX i 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
Kako su računali naši stari
Strategijska igra J.H. Conwaya
Control of essential infimum and supremum of solutions of quasilinear elliptic equations
Mathematics for primary and secondary schools on Internet
On Levin's generalization of Carleman's inequalities
Fundamentals of Applied Functional Analysis
Božanski ili zlatni omjer
Hrvatska glagoljica
Croatian fonts
Croatia - Overview of History, Culture and Science
Faculty of electrical engineering : with a short survey of the history of Croatia
Uvod u varijacione metode za diferencijalne jednadžbe
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.
Životopis
Rođen 1956. u Zagrebu. Diplomirao 1978. na Matematičkom odsjeku PMF-a Sveučilišta u Zagrebu. Na istoj instituciji doktorirao 1984. Od 1981. zaposlen je na FER-u. Znanstveni interesi su mu u području nelinearne analize za eliptičke rubne probleme, fraktalnih svojstava dinamičkih sustava, te u području fraktalnih zeta funkcija. Koautor je dviju monografija na engleskom jeziku i 60tak znanstvenih radova, kao i nekoliko studentskih priručnika, sve u području Matematike. Bavio se popularizacijom matematike i bio koncem 1980tih zamjenik voditelja ekipe mladih matematičara u bivšoj državi na Međunarodnim matematičkim olimpijadama (IMO). Godine 2010. objavio je (na hrvatskom i engleskom jeziku) monografiju o Vilimu Felleru, najvećem hrvatskom matematičaru u povijesti.
Jedan je od osnivača (1993.) i sadašnji predsjednik Društva prijatelja glagoljice u Zagrebu. Auktor je knjige Hrvatska glagoljica objavljene 1994. g. (drugo izdanje 1996., 400 str.). Utemeljio portal Croatia - Its History, Culture and Science, www.croatianhistory.net 1995. g., koji je evidentiran u NSK u Zagrebu. Pomoćnik je glavnog urednika g. Nenada Bacha (NY) na portalu CROWN www.croatia.org, također evidentiranog u NSK.
Održao je tri javna predavanja o Antunu Lučiću (Anthony F. Lucas, rođen 1855. u gradu Splitu), koji je u SAD-u proglašen otcem naftne industrije.
Od 2015. bavi se istraživanjem školovanja Nikole Tesle u Hrvatskoj.
Kompetencije
-
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
Profesionalni interesi i članstva
fraktalna analiza vektorskih polja
fraktalne zeta funkcije
eliptički rubni problemi
Osobni podaci
Hobiji i osobni interesi
Hrvatska povijest, kultura i znanost
http://www.croatianhistory.net
http://www.croatia.org
Pristupačnost