schizophrenia and criminal activity

According to the study discussed in the article, "Prevalence and attributes of criminality in patients with schizophrenia," is there a link between schizophrenia and criminal activity? What might account for that link? What factors need to be taken into account? Did the study have any limitations or "shortcomings?"

• Ghoreishi, A., Kabootvand, S.,      Zangani, E., Bazargan-Hejazi, S., Ahmadi, A., & Khazaie, H. (2015).      Prevalence and attributes of criminality in patients with      schizophrenia. Journal of Injury and Violence Research, 7(1), 7-12.
• Greenberg, G., Rosenheck, R.,      Erickson, S., Desai, R., Stefanovics, E., Swartz, M., & ... Scott      Stroup, T. (2011). Criminal justice system involvement among people with      schizophrenia. Community Mental Health Journal, 47(6), 727-736.
• Walsh, A., & Yun, I.      (2013). Schizophrenia: Causes, crime, and implications for criminology and      criminal justice. International Journal of Law, Crime, and      Justice, 41(2), 188-202.