AYŞE HÜMEYRA BİLGE

Professor AYŞE HÜMEYRA BİLGE

D BLOK 3. KAT 327

+90 (212) 5336532 - 1358

[email protected]

CV

ORCID

Education

Doctorate

UNIVERSITY OF MİNNESOTA
Matematik

Doctorate

ORTA DOĞU TEKNİK ÜNİVERSİTESİ
Fizik

Master's Degree

ORTA DOĞU TEKNİK ÜNİVERSİTESİ
Elektrik Mühendisliği

Bachelor's Degree

ORTA DOĞU TEKNİK ÜNİVERSİTESİ
Elektrik Mühendisliği

Research Areas

  • Genel Görelilik Kuramı: Tam Çözümler
  • Diferansiyel Denklemler: İntegre Edilebilir Sistemler
  • Uygulamalı Matematik: Zaman Serilerinin Modelleme Ve Kestirimi
  • İyonosferik Veriye Uygulamalar

Work Experience

2010 / Continuing Profesör
Kadir Has Üniversitesi

1997 / 2010 Profesör, Doçent
İstanbul Teknik Üniversitesi

Publications

  • Yukseltan, Ergun; Aktunc, Esra Agca; Bilge, Ayse H.; Yucekaya, Ahmet (2024), "An Overview of Electricity Consumption in Europe: Models for Prediction of the Electricity Usage for Heating and Cooling", International Journal of Energy Economics and Policy, Vol.14, No.2, 96-111 DOI: 10.32479/ijeep.15514
  • Bilge, Ayse Humeyra; Peker-Dobie, Ayse; Severin, Irina; Piqueira, José Roberto Castilho; Bellingeri, Michele; Prodanov, Dimiter (2024), "Editorial: Compartmental models for social interactions", Frontiers in Physics, Vol.12, DOI: 10.3389/fphy.2024.1506990
  • Samanlioglu, Funda; Tabassum, Nauman; Karaca, Tolga Kudret; Bilge, Ayse Humeyra (2024), "A Bicriteria Model to Determine Pareto Optimal Pulse Vaccination Strategies", Applied Computational Intelligence and Soft Computing, Vol.2024, DOI: 10.1155/2024/5531062
  • Gökdağ, Zehra Hafızoğlu; Bilge, Ayşe Hümeyra (2023), "The Impact of Dynamic Shocks and Special Days on Time Series Data", International Journal of Computational and Experimental Science and Engineering, Vol.9, No.2, 183-190 DOI: 10.22399/ijcesen.1311166
  • Ogrenci, Arif Selcuk; Bilge, Ayse Humeyra; Pekcan, Onder; Incegul, Metehan (2023), "Epidemic Models for Chemical Gel Phase Transformation: Effect of Optical Measurements with Different Wavelengths", Journal of Macromolecular Science, Part B: Physics, DOI: 10.1080/00222348.2023.2203556
  • Dobie, Ayse Peker; Bayrakal, Alper; Or, Mehmet Erman; Bilge, Ayse Humeyra (2023), "Dynamics of Feline Coronavirus and FIP: A Compartmental Modeling Approach", Veterinary Medicine International, Vol.2023, DOI: 10.1155/2023/2721907
  • Yukseltan, E.; Kok, A.; Yucekaya, A.; Bilge, A.; Aktunc, E. Agca; Hekimoglu, M. (2022), "The impact of the COVID-19 pandemic and behavioral restrictions on electricity consumption and the daily demand curve in Turkey", Utilities Policy, Vol.76, DOI: 10.1016/j.jup.2022.101359
  • Ahmetolan, Semra; Bilge, Ayse Humeyra; Demirci, Ali; Dobie, Ayse Peker (2022), "A Susceptible–Infectious (SI) model with two infective stages and an endemic equilibrium", Mathematics and Computers in Simulation, Vol.194, 19-35 DOI: 10.1016/j.matcom.2021.11.003
  • Bilge, Ayse Humeyra; Dereli, Tekin; Kocak, Sahin (2022), "A trip around octonions", Journal of Physics: Conference Series, Vol.2191, No.1, DOI: 10.1088/1742-6596/2191/1/012006
  • Kök, Ali; Yükseltan, Ergün; Hekimoğlu, Mustafa; Aktunc, Esra Agca; Yücekaya, Ahmet; Bilge, Ayşe (2022), "Forecasting Hourly Electricity Demand Under COVID-19 Restrictions", International Journal of Energy Economics and Policy, Vol.12, No.1, 73-85 DOI: 10.32479/ijeep.11890
  • Bilge, Ayşe Hümeyra; Çelik, Derya; Koçak, Şahin; Rezaeinazhad, Arash M. (2021), "Gromov product structures, quadrangle structures and split metric decompositions for finite metric spaces", Discrete Mathematics, Vol.344, No.6, DOI: 10.1016/j.disc.2021.112358
  • Yukseltan, Ergun; Yucekaya, Ahmet; Bilge, Ayse Humeyra; Agca Aktunc, Esra (2021), "Forecasting models for daily natural gas consumption considering periodic variations and demand segregation", Socio-Economic Planning Sciences, Vol.74, DOI: 10.1016/j.seps.2020.100937
  • Önay, Selim; Yücekaya, Ahmet; Bilge, Ayşe; Aktunç, Esra Ağca (2021), "A supply and demand analysis for the turkish electricity market: Supply adequacy and resource utilization", International Journal of Energy Economics and Policy, Vol.11, No.6, 315-327 DOI: 10.32479/ijeep.11412
  • Burak, Selmin; Bilge, Ayşe Hümeyra; Ülker, Duygu (2021), "Assessment and simulation of water transfer for the megacity Istanbul", Physical Geography, DOI: 10.1080/02723646.2021.1904698
  • Burak, Selmin; Bilge, Ayse Humeyra; Ulker, Duygu (2021), "Computation Of Monthly Runoff Coefficients For Istanbul", Thermal Science, Vol.25, No.2 Part B, 1561-1571 DOI: 10.2298/TSCI191102147B
  • Peker-Dobie, Ayse; Demirci, Ali; Bilge, Ayse Humeyra; Ahmetolan, Semra (2020), "On the Time Shift Phenomena in Epidemic Models", Frontiers in Physics, Vol.8, DOI: 10.3389/fphy.2020.578455
  • Ahmetolan, Semra; Bilge, Ayse Humeyra; Demirci, Ali; Peker-Dobie, Ayse; Ergonul, Onder (2020), "What Can We Estimate From Fatality and Infectious Case Data Using the Susceptible-Infected-Removed (SIR) Model? A Case Study of Covid-19 Pandemic", Frontiers in Medicine, Vol.7, DOI: 10.3389/fmed.2020.556366
  • Yukseltan, Ergun; Yucekaya, Ahmet; Bilge, Ayse Humeyra (2020), "Hourly electricity demand forecasting using Fourier analysis with feedback", Energy Strategy Reviews, Vol.31, DOI: 10.1016/j.esr.2020.100524
  • Agca Aktunc, Esra; Yukseltan, Ergün; Yucekaya, Ahmet; Bilge, Ayse Humeyra (2020), "Managing natural gas demand for free consumers under uncertainty and limited storage capacity", Journal of Natural Gas Science and Engineering, Vol.79, DOI: 10.1016/j.jngse.2020.103322
  • Bilge, Ayse Humeyra; Ozdemir, Yunus (2020), "The critical point of a sigmoidal curve", Studia Universitatis Babes-Bolyai Mathematica, Vol.65, No.1, 77-91 DOI: 10.24193/subbmath.2020.1.07
  • Gayretli, G.; Yucekaya, A.; Bilge, Ayse Humeyra (2019), "An analysis of price spikes and deviations in the deregulated Turkish power market", Energy Strategy Reviews, Vol.26, DOI: 10.1016/j.esr.2019.100376
  • Bilge, Ayse Humeyra; Ogrenci, Arif Selcuk; Pekcan, Onder (2019), "Mathematical models for phase transitions in biogels", Modern Physics Letters B, Vol.33, No.9, DOI: 10.1142/S0217984919501112
  • Ogrenci, Arif Selcuk; Pekcan, Onder; Kara, Selim; Bilge, Ayse Humeyra (2018), "Mathematical Characterization of Thermo-reversible Phase Transitions of Agarose Gels", Journal of Macromolecular Science, Part B: Physics, Vol.57, No.5, 364-376 DOI: 10.1080/00222348.2018.1463052
  • Bilge, Ayse Humeyra; Samanlioglu, Funda (2018), "Determination of epidemic parameters from early phase fatality data: A case study of the 2009 A (H1N1) pandemic in Europe", International Journal of Biomathematics, Vol.11, No.2, DOI: 10.1142/S1793524518500213
  • Bilge, A. H.; Pekcan, O.; Kara, S.; Ogrenci, A. S. (2017), "Epidemic models for phase transitions: application to a physical gel", Phase Transitions, Vol.90, No.9, 905-913 DOI: 10.1080/01411594.2017.1286487
  • Bilge, Ayşe Hümeyra; Çelik, Derya; Koçak, Şahin (2017), "An equivalence class decomposition of finite metric spaces via Gromov products", Discrete Mathematics, Vol.340, No.8, 1928-1932 DOI: 10.1016/j.disc.2017.03.023
  • Bilge, A. H.; Dereli, T.; Kocak, S. (2017), "Self-duality in higher dimensions", Journal of Physics: Conference Series, Vol.804, No.1, DOI: 10.1088/1742-6596/804/1/012005
  • Bilge, Ayşe Hümeyra; Mizrahi, Eti (2017), "On the classification of scalar evolution equations with non-constant separant", Journal of Physics A: Mathematical and Theoretical, Vol.50, No.3, DOI: 10.1088/1751-8121/50/3/035202
  • Yukseltan, Ergun; Yucekaya, Ahmet; Bilge, Ayse Humeyra (2017), "Forecasting electricity demand for Turkey: Modeling periodic variations and demand segregation", Applied Energy, Vol.193, 287-296 DOI: 10.1016/j.apenergy.2017.02.054
  • Bilge, Ayse Humeyra; Ozdemir, Yunus (2016), "Determining the critical point of a sigmoidal curve via its fourier transform", Journal of Physics: Conference Series, Vol.738, No.1, DOI: 10.1088/1742-6596/738/1/012062
  • Bilge, A. H.; Kirkil, G.; Burak, S.; Incegul, M. (2016), "Modeling of wind effects on stratified flows in open channels: A model for the Istanbul Strait (Bosphorus)", Journal of Physics: Conference Series, Vol.738, No.1, DOI: 10.1088/1742-6596/738/1/012069
  • Bilge, A. H. (2016), "On the uniqueness of the octonionic instanton solution on conformally flat 8-manifolds", Journal of Physics: Conference Series, Vol.670, No.1, DOI: 10.1088/1742-6596/670/1/012011
  • Samanlioglu, Funda; Bilge, Ayse Humeyra (2016), "An Overview of the 2009 A(H1N1) Pandemic in Europe: Efficiency of the Vaccination and Healthcare Strategies", Journal of Healthcare Engineering, Vol.2016, DOI: 10.1155/2016/5965836
  • Bilge, Ayse Humeyra; Samanlioglu, Funda; Ergonul, Onder (2015), "On the uniqueness of epidemic models fitting a normalized curve of removed individuals", Journal of Mathematical Biology, Vol.71, No.4, 767-794 DOI: 10.1007/s00285-014-0838-z
  • Bilge, A. H.; Pekcan, O. (2014), "A mathematical characterization of the gel point in sol-gel transition", Journal of Physics: Conference Series, Vol.574, No.1, DOI: 10.1088/1742-6596/574/1/012005
  • Bilge, Ayse Humeyra; Pekcan, Onder (2013), "A mathematical description of the critical point in phase transitions", International Journal of Modern Physics C, Vol.24, No.10, DOI: 10.1142/S0129183113500654
  • Mizrahi, Eti; Bilge, Ayşe Hümeyra (2013), "Level grading a new graded algebra structure on differential polynomials: Application to the classification of scalar evolution equations", Journal of Physics A: Mathematical and Theoretical, Vol.46, No.38, DOI: 10.1088/1751-8113/46/38/385202
  • Bilge, A. H.; Pekcan, Ö; Gürol, M. V. (2012), "Application of epidemic models to phase transitions", Phase Transitions, Vol.85, No.11, 1009-1017 DOI: 10.1080/01411594.2012.672648
  • Özkum, Gülcan; Bilge, Ayşe H. (2012), "On the classification of fifth order quasi-linear non-constant separant scalar evolution equations of the KdV-Type", Journal of the Physical Society of Japan, Vol.81, No.5, DOI: 10.1143/JPSJ.81.054001
  • Kumbasar, Yalin; Bilge, Aye Hümeyra (2012), "Canonical forms for families of anti-commuting diagonalizable linear operators", Linear Algebra and Its Applications, Vol.436, No.1, 79-85 DOI: 10.1016/j.laa.2011.06.034
  • Uǧuz, Selman; Bilge, Ayşe H. (2011), "(3+3+2) warped-like product manifolds with Spin(7) holonomy", Journal of Geometry and Physics, Vol.61, No.6, 1093-1103 DOI: 10.1016/j.geomphys.2011.02.009
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (2011), "Maximal Linear Subspaces of Strong Self-Dual 2-forms and the Bonan 4-form", Linear Algebra and Its Applications, Vol.434, No.5, 1200-1214 DOI: 10.1016/j.laa.2010.11.002
  • Mizrahi, Eti; Bilge, Ayşe Hümeyra (2009), "Toward the Classification of Scalar Nonpolynomial Evolution Equations: Polynomiality in Top Three Derivatives", Studies in Applied Mathematics, Vol.123, No.3, 233-255 DOI: 10.1111/j.1467-9590.2009.00451.x
  • Bilge, A. H.; Daghan, D. (2008), "Warped product metrics with rank-1 ricci tensor", EAS Publications Series, Vol.30, 329-332 DOI: 10.1051/eas:0830055
  • Bilge, Ayşe H.; Uǧuz, Selman (2008), "A generalization of warped product manifolds with Spin(7) holonomy", AIP Conference Proceedings, Vol.1023, 165-171 DOI: 10.1063/1.2958169
  • Bilge, Ayse H.; Daghan, Durmus (2008), "Exact static solutions for scalar fields coupled to gravity in (3+1) - Dimensions", 11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity, 2225-2227 DOI: 10.1142/9789812834300_0369
  • Bilge, A. H.; Daghan, D. (2007), "Scalar fields coupled to gravity in (3+1) dimensions: Static spherically symmetric stiff matter solutions", Journal of Mathematical Physics, Vol.48, No.10, DOI: 10.1063/1.2794563
  • Daghan, D.; Bilge, A. H. (2006), "Scalar field coupled to gravity in spherically symmetric background in (2 + 1) dimensions", AIP Conference Proceedings, Vol.841, 637-638 DOI: 10.1063/1.2218256
  • Bilge, A. H.; Koçak, Ş; Uǧuz, S. (2006), "Canonical bases for real representations of Clifford algebras", Linear Algebra and Its Applications, Vol.419, No.2-3, 417-439 DOI: 10.1016/j.laa.2006.01.034
  • Daghan, Durmus; Bilge, Ayse H. (2005), "An exact solution for static scalar fields coupled to gravity in (2+1)-dimensions", General Relativity and Gravitation, Vol.37, No.7, 1289-1296 DOI: 10.1007/s10714-005-0111-2
  • Bilge, A. H. (2005), "Towards the classification of scalar nonpolynomial evolution equations: Quasilinearity", Computers and Mathematics with Applications, Vol.49, No.11-12, 1837-1848 DOI: 10.1016/j.camwa.2004.09.014
  • Tulunay, Ersin; Senalp, Erdem T.; Cander, Ljiljana R.; Tulunay, Yurdanur K.; Bilge, Ayse H.; Mizrahi, Eti; Kouris, Stamatis S.; Jakowski, Norbert (2004), "Development of algorithms and software for forecasting, nowcasting and variability of TEC", Annals of Geophysics, Vol.47, No.2-3 SUPPL., 1201-1214
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (2003), "Seiberg-Witten type monopole equations on 8-manifolds with Spin(7) holonomy as minimizers of a quadratic action", Journal of High Energy Physics, Vol.7, No.4, 39-53 DOI: 10.1088/1126-6708/2003/04/003
  • Bilge, Ayşe H.; Mizrahi, Eti; Tulunay, Yurdanur (2002), "Variation of the feedback coefficient with R12 and the geographic latitude in 1-h ahead forecast of f0F2", Annals of Geophysics, Vol.45, No.1, 87-96
  • Mizrahi, Eti; Bilge, Ayşe H.; Tulunay, Yurdanur (2002), "Statistical properties of the deviations of f0F2 from monthly medians", Annals of Geophysics, Vol.45, No.1, 131-144
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (2000), "Monopole Equations on R8: The Energy Integral", Turkish Journal of Physics, Vol.24, No.3, 253-261
  • Bilge, Ayşe H.; Tulunay, Yurdanur (2000), "A novel on-line method for single station prediction and forecasting of the ionospheric critical frequency f0F2 1 hour ahead", Geophysical Research Letters, Vol.27, No.9, 1383-1386 DOI: 10.1029/1999GL003697
  • Özdemir, F.; Bilge, A. H. (1999), "Self-duality in dimensions 2n>4: Equivalence of various definitions and the derivation of the octonionic instanton solution", Bulletin of the Technical University of Istanbul, Vol.51, No.4, 247-253 DOI: 10.1007/s007770050060
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (1999), "Monopole equations on 8-manifolds with Spin(7) holonomy", Communications in Mathematical Physics, Vol.203, No.1, 21-30 DOI: 10.1007/s002200050024
  • Bilge, A. H.; Hortaçsu, M.; Özdemir, N. (1998), "Can an Unruh detector feel a cosmic string?", General Relativity and Gravitation, Vol.30, No.6, 861-876 DOI: 10.1023/A:1026608124868
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (1997), "Self-dual gauge fields in eight dimensions", Turkish Journal of Physics, Vol.21, No.3, 361-367
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (1997), "Seiberg-Witten equations on R8", Turkish Journal of Mathematics, Vol.21, No.1, 87-92
  • Bilge, Ayşe Hümeyra; Tulunay, Yurdanur K. (1997), "Spectral analysis of geomagnetic data from Kandilli Observatory, Istanbul", Annali di Geofisica, Vol.40, No.6, 1591-1598
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (1997), "The geometry of self-dual two-forms", Journal of Mathematical Physics, Vol.38, No.9, 4804-4814 DOI: 10.1063/1.532125
  • Bilge, Ayşe Hümeyra (1996), "Singular travelling wave solutions of the fifth-order KdV, Sawada-Kotera and Kaup equations", Journal of Physics A: Mathematical and General, Vol.29, No.16, 4967-4975 DOI: 10.1088/0305-4470/29/16/018
  • Bilge, Ayşe Hümeyra (1996), "Solution and ellipticity properties of the self-duality equations of corrigan et al. in eight dimensions", International Journal of Theoretical Physics, Vol.35, No.12, 2507-2515 DOI: 10.1007/BF02085759
  • Bilge, Ayşe Hümeyra; Dereli, Tekin; Koçak, Şahin (1996), "Self-Dual Yang-Mills Fields in Eight Dimensions", Letters in Mathematical Physics, Vol.36, No.3, 301-309 DOI: 10.1007/BF00943282
  • Bilge, A. H.; Hortaçsu, M.; Özdemir, N. (1996), "Particle creation if a cosmic string snaps", General Relativity and Gravitation, Vol.28, No.5, 511-525 DOI: 10.1007/BF02105062
  • Bilge, A. H. (1993), "On the equivalence of linearization and formal symmetries as integrability tests for evolution equations", Journal of Physics A: Mathematical and General, Vol.26, No.24, 7511-7519 DOI: 10.1088/0305-4470/26/24/024
  • Bilge, Ayşe Hümeyra (1992), "A REDUCE program for the integration of differential polynomials", Computer Physics Communications, Vol.71, No.3, 263-268 DOI: 10.1016/0010-4655(92)90013-O
  • Bilge, Ayşe Hümeyra (1992), "Integrability of seventh-order KdV-like evolution equations using formal symmetries and perturbations of conserved densities", Journal of Mathematical Physics, Vol.33, No.9, 3025-3038 DOI: 10.1063/1.529522
  • Bilge, A. H. (1991), "Integration of the radial Newman-Penrose equations in terms of rho , sigma and xi k", Classical and Quantum Gravity, Vol.8, No.4, 703-725 DOI: 10.1088/0264-9381/8/4/015
  • Bilge, A. H. (1990), "An asymptotically flat vacuum solution", General Relativity and Gravitation, Vol.22, No.4, 365-377 DOI: 10.1007/BF00756145
  • Bilge, A. H. (1989), "Non-twisting vacuum metrics with D(σ/ρ)=0", Classical and Quantum Gravity, Vol.6, No.6, 823-844 DOI: 10.1088/0264-9381/6/6/007
  • Kupeli, A. H. (1988), "Generalised Kerr-Schild transformation from vacuum backgrounds to Einstein-Maxwell spacetimes", Classical and Quantum Gravity, Vol.5, No.3, 401-408 DOI: 10.1088/0264-9381/5/3/002
  • Kupeli, A. H. (1988), "Vacuum solutions admitting a geodesic null congruence with shear proportional to expansion", Journal of Mathematical Physics, Vol.29, No.2, 440-442 DOI: 10.1063/1.528034
  • Bilge, A. H.; Gürses, M. (1986), "Cartan ideal, prolongation, and Bäcklund transformations for Einstein's equations", Journal of Mathematical Physics, Vol.27, No.7, 1819-1833 DOI: 10.1063/1.527051

Projects

Project Name Role in the Project Project Type Fund Establishment Project Date
D FAST Dağıtım Hizmetleri ve Lojistik A.Ş. (HepsiJET) Taşımacılık Operasyonları Optimizasyonu Araştırmacı Ulusal Proje TÜBİTAK BİDEB 15.07.2020
15.07.2028
Genel Görelilikte, Enerji-Momentum Tensörünün İntegrabilite Koşulları ile Belirlenmesi Yürütücü Ulusal Proje TÜBİTAK ARDEB 10.05.2024
10.05.2027
ŞİRKET KREDİ BAŞVURULARINDA DİNAMİK FİNANSAL SKORLAMA ve KREDİLENDİRME için YAPAY ZEKA TABANLI KARAR DESTEK SİSTEMİ Araştırmacı Ulusal Proje TÜBİTAK TEYDEB 01.10.2022
30.09.2024
Hızlı Fourier Dönüşümü ile saatlik toplam elektrik tüketim verisinin tüketim çeşitlerine ayrıştırılması Araştırmacı Ulusal Proje TÜBİTAK ARDEB 01.04.2023
01.04.2024
Müşteri Fatura Şikayetlerini Önceden Tahminlemeye Yönelik Akıllı Teknolojik Çözümler Yürütücü Ulusal Proje TÜBİTAK TEYDEB 01.01.2022
31.12.2023
Promoting Deep and Wide Thinking / Early Dual Degrees in Basic Sciences Yürütücü Uluslararası Proje Erasmus/JM 01.09.2019
31.08.2022
Sonlu Metrik Uzayların Gromov Çarpımları ile İncelenmesi ve Filogenetik Uygulamaları Yürütücü Ulusal Proje TÜBİTAK ARDEB 15.03.2019
15.03.2021
Covid-19 salgını sürecinde elektrik tedariginin, üretim kaynaklarının ve talebinin yönetilmesi Araştırmacı Ulusal Proje TÜBİTAK ARDEB 01.07.2020
31.12.2020

Courses Offered

Course Name Course Code Period
Simulation Techniques in Financial Engineering INE374 2023/24 Spring
Numerical Methods FENS300 2023/24 Spring
Advanced Linear Algebra CSE503 2023/24 Spring
Mathematical Methods in Applied Science and Engineering CSE618 2023/24 Fall
Probability and Statistics FENS200*1 2023/24 Fall
Computational Methods for Industrial Engineering INE351 2023/24 Fall
Computational Methods for Industrial Engineering INE351 2024/25 Fall
Probability and Statistics FENS200*1 2024/25 Fall