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• Beran, J., Feng, Y., Gosh, S., Kulik, R.: Long-Memory Processes: Probabilistic Properties and Statistical Methods. Springer, New York (2013)
• Damarackas, J., Paulauskas, V.: Spectral covariance and limit theorems for random fields with infinite variance. J. Multiv. Anal. 153, 156–175 (2017)
• Damarackas, J., Paulauskas, V.: Some remarks on scaling transition in limit theorems for random fields (2019). Preprint. arXiv:1903.09399 [math.PR]
• Davydov, Y.A.: The invariance principle for stationary processes. Theor. Probab. Appl. 15, 487–498 (1970)
• Dobrushin, R.L.: Gaussian and their subordinated self-similar random generalized fields. Ann. Probab. 7, 1–28 (1979)
• Dobrushin, R.L., Major, P.: Non-central limit theorems for non-linear functionals of Gaussian fields. Probab. Theory Relat. Fields 50, 27–52 (1979)
• Doukhan, P., Oppenheim, G., Taqqu, M.S. (eds.): Theory and Applications of Long-Range Dependence. Birkhäuser, Boston (2003)
• Giraitis, L., Koul, H.L., Surgailis, D.: Large Sample Inference for Long Memory Processes. Imperial College Press, London (2012)
• Hankey, A., Stanley, H.E.: Systematic application of generalized homogeneous functions to static scaling, dynamic scaling, and universality. Phys. Rev. B 6, 3515–3542 (1972)
• Lahiri, S.N., Robinson, P.M.: Central limit theorems for long range dependent spatial linear processes. Bernoulli 22, 345–375 (2016)
• Leonenko, N.N.: Random Fields with Singular Spectrum. Kluwer, Dordrecht (1999)
• Pilipauskaitė, V., Surgailis, D.: Joint temporal and contemporaneous aggregation of random-coefficient AR(1) processes. Stoch. Process. Appl. 124, 1011–1035 (2014)
• Pilipauskaitė, V., Surgailis, D.: Anisotropic scaling of random grain model with application to network traffic. J. Appl. Probab. 53, 857–879 (2016)
• Pilipauskaitė, V., Surgailis, D.: Scaling transition for nonlinear random fields with long-range dependence. Stoch. Process. Appl. 127, 2751–2779 (2017)
• Pratt, J.W.: On interchanging limits and integrals. Ann. Math. Stat. 31, 74–77 (1960)
• Puplinskaitė, D., Surgailis, D.: Scaling transition for long-range dependent Gaussian random fields. Stoch. Process. Appl. 125, 2256–2271 (2015)
• Puplinskaitė, D., Surgailis, D.: Aggregation of autoregressive random fields and anisotropic long-range dependence. Bernoulli 22, 2401–2441 (2016)
• Samorodnitsky, G., Taqqu, M.S.: Stable Non-Gaussian Random Processes. Chapman and Hall, London (1994)
• Surgailis, D.: Anisotropic scaling limits of long-range dependent linear random fields on Z3 . J. Math. Anal. Appl. 472, 328–351 (2019)
• Surgailis, D.: Anisotropic scaling limits of long-range dependent random fields. Lith. Math. J. 59, 595–615 (2019)
• Surgailis, D.: Scaling transition and edge effects for negatively dependent linear random fields on Z2 . Stoch. Process. Appl. 130, 7518–7546 (2020)