Публикације наставника и сарадника Природно-математичког факултета

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Најновији документи

  • Causality between stopped filtrations and some applications 

    Valjarević, Dragana; Petrović, Ljiljana (2021-11-21)
    In this paper we consider the concept of statistical causality in continuous time between filtrations associated with stopping times, which is based on Granger’s definition of causality. Especially, we consider a ...
  • Tourism and sustainable development of rural settlements in protected areas - Example NP Кopaonik (Serbia) 

    Ristić, Dušan; Vukoičić, Danijela; Milinčić, Miroljub (Elsevier Ltd., 2019-09-21)
    With the formulation of tourism development strategies for the social and economic development of an area, rural tourism moved to a more complex phase of development. Numerous empirical studies have shown that different ...
  • Transmission performance of multimode W- type microstructured polymer optical fibers 

    Drljača, Branko; Savović, Svetislav; Kovačević, Milan; Simović, Ana; Kuzmanović, Ljubica; Djordjevich, Alexandar; Min, Rui (Optica Publishing Group (Formerly OSA), 2022-06-23)
    By solving the time-independent power flow equation (TI PFE), we study mode coupling in a multimode W-type microstructured polymer optical fiber (mPOF) with a solid-core. The multimode W-type mPOF is created by modifying ...
  • Calculation of the mode coupling coefficient in step-index plastic optical fibers based on the far field measurements 

    Savović, Svetislav; Djordjevich, Alexandar; Drljača, Branko; Simović, Ana; Min, Rui (Frontiers, 2022-05-25)
    Using the power flow equation (PFE), this article investigates mode coupling in step-index (SI) multimode (MM) polymer optical fiber (POF). This equation’s coupling coefficient was initially fine-tuned so that it could ...
  • Calculation of Bandwidth of Multimode Step-Index Polymer Photonic Crystal Fibers 

    Drljača, Branko; Savović, Svetislav; Kovačević, Milan; Simović, Ana; Kuzmanović, Ljubica; Djordjevich, Alexandar; Min, Rui (MDPI, 2021-12-01)
    By solving the time-dependent power flow equation, we present a novel approach for evaluating the bandwidth in a multimode step-index polymer photonic crystal fiber (SI PPCF) with a solid core. The bandwidth of such fiber ...
  • Theoretical Investigation of the Influence of Wavelength on the Bandwidth in Multimode W-Type Plastic Optical Fibers with Graded-Index Core Distribution 

    Simović, Ana; Savović, Svetislav; Drljača, Branko; Alexandar, Djordjevich; Min, Rui (MDPI, 2021-11-17)
    The bandwidth of multimode W-type plastic optical fibers (POFs) with graded-index (GI) core distribution is investigated by solving the time-dependent power flow equation. The multimode W-type GI POF is designed from a ...
  • Investigation of bandwidth in multimode graded-index plastic optical fibers 

    Simović, Ana; Drljača, Branko; Savović, Svetislav; Djordjevich, Alexandar; Min, Rui (Optica Publishing Group, 2021-09-13)
    A new method is proposed for investigating the bandwidth in multimode graded-index plastic optical fibers (GI POFs). By numerically solving the time-dependent power flow equation, bandwidth is reported for a varied launch ...
  • Power flow in multimode W-type plastic optical fibers with graded index core distribution 

    Simović, Ana; Djordjevich, Alexandar; Drljača, Branko; Savović, Svetislav (Elsevier, 2021-06-11)
    A method is proposed for investigation of transmission along a multimode W-type (doubly clad) plastic optical fiber (POF) with graded index (GI) distribution of the core. The multimode W-type GI POF is designed from a ...
  • A note on hybridization process applied on transformed double step size model 

    Petrović, Milena; Rakočević, Vladimir; Valjarević, Dragana; Ilić, Dejan (Springer, 2019-12-03)
    We introduce a hybrid gradient model for solving unconstrained optimization problems based on one specific accelerated gradient iteration. Having applied a three term hybridization relation on transformed accelerated double ...
  • Statistical causality and local uniqueness for solutions of the martingale problem 

    Petrović, Ljiljana; Valjarević, Dragana (2018-06-15)
    In this paper we consider the concept of statistical causality between filtrations associated with stopping times, which is based on Granger’s definition of causality. Especially, we consider a generalization of a causality ...
  • Statistical causality and measurable separability of σ-algebras 

    Valjarević, Dragana; Merkle, Ana (Science direct, 2021-07-21)
    In this paper we consider a concept of statistical causality, based on Granger’s definition of causality and analyze the relationships between given causality and the concept of measurable separability of σ-algebras. The ...
  • Hybridization Rule Applied on Accelerated Double Step Size Optimization Scheme 

    Petrović, Milena
    A hybrid accelerated model with two step length parameters for solving unconstrained optimization problems is presented. Applied hybridization process involves an efficient three term hybrid method. The accelerated double ...
  • Statistical causality, martingale problems and local uniqueness 

    Petrović, Ljiljana; Valjarević, Dragana (Taylor and Francis, 2018-07-21)
    The paper considers a statistical concept of causality in continuous time in the filtered probability spaces which is based on the Granger’s definition of causality. The given causality concept is then applied to the ...
  • Statistical causality and purely discontinuous local martingales 

    Valjarević, Dragana; Petrović, Ljiljana (Taylor and Francis, 2021-07-21)
    The statistical concept of causality in continuous time between filtered probability spaces considered in this paper is based on Granger’s definition of causality. The given concept of causality can be connected to the ...
  • Statistical causality and separable processes 

    Valjarević, Dragana; Petrović, Ljiljana (Science Direct, 2020-11-21)
    In this paper we consider the statistical concept for continuous-time stochastic processes, which is based on Granger’s definition of causality. We, also, show that separability is directly related to causality concepts. ...
  • Statistical causality and extremal measures 

    Petrović, Ljiljana; Valjarević, Dragana (2018-10-21)
    In this paper we consider the concept of statistical causality in continuous time between ows of information, represented by ltra- tions. Then we relate the given concept of causality to the equivalent change of measure ...
  • Hybrid modification of accelerated double direction method 

    Petrović, Milena; Stanimirović, Predrag; Kontrec, Nataša; Mladenović, Julija (Hindawi, 2018-11-06)
    We present a hybridization of the accelerated gradient method with two vector directions. This hybridization is based on the usage of a chosen three-term hybrid model. Derived hybrid accelerated double direction model keeps ...
  • Initial improvement of the hybrid accelerated gradient descent process 

    Panić, Stefan; Petrović, Milena; Mihajlov Carević, Miroslava (Cambridge University Press, 2018-08-01)
    We improve the convergence properties of the iterative scheme for solving unconstrained optimisation problems introduced in Petrovic et al. [‘Hybridization of accelerated gradient descent method’, Numer. Algorithms (2017), ...
  • Edukacija u korak sa savremenim istraživanjima radona 

    Gulan, Ljiljana; Vučković, Biljana; Kevkić, Tijana; Drljača, Branko (Društvo fizičara Srbije, Beograd, 2018-10-07)
    Sistematska merenja koncentracije radona se najčešće izvode na slučajnim uzorcima stambenih objekata. Međutim, škole se mogu pokazati kao pogodniji izbor, jer su uniformno raspoređene po celoj teritoriji područja ili ...
  • Generating function for the figurative numbers of regular polyhedron 

    Mihajlov Carević, Miroslava; Petrović, Milena; Denić, Nebojša (Hindawi, 2020-04-14)
    In this paper, we are going to demonstrate a method for determining the generating functions of tetrahedral, hexahedral, octahedral, dodecahedral, and icosahedral figurative numbers. The method is based on the differences ...

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